191:@0.918240:0.967835:0.943652:0.967835:0.943652:0.951847:0.918240:0.951847:0.000000:0.000000:0.000000
1.:@0.108233:0.105704:0.122643:0.105704:0.122643:0.088512:0.108233:0.088512:0.000000:0.000000
  :@0.122643:0.105458:0.130697:0.105458:0.130697:0.088512:0.122643:0.088512:0.000000:0.000000
Consideremos el caso  >  . Se tiene  ( ,  ) = |:@0.131968:0.104995:0.468096:0.104995:0.468096:0.088498:0.131968:0.088498:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x  x:@0.290037:0.105111:0.324079:0.105111:0.324079:0.088642:0.290037:0.088642:0.000000:0.000000:0.000000:0.000000
0:@0.324086:0.108273:0.329039:0.108273:0.329039:0.098655:0.324086:0.098655:0.000000
d x x:@0.396119:0.105111:0.438043:0.105111:0.438043:0.088642:0.396119:0.088642:0.000000:0.000000:0.000000:0.000000:0.000000
0:@0.418717:0.108273:0.423670:0.108273:0.423670:0.098655:0.418717:0.098655:0.000000
x –x:@0.468096:0.105111:0.500201:0.105111:0.500201:0.088642:0.468096:0.088642:0.000000:0.000000:0.000000:0.000000
0 :@0.475570:0.108341:0.482691:0.108341:0.482691:0.098739:0.475570:0.098739:0.000000:0.000000
| = :@0.500201:0.104995:0.524302:0.104995:0.524302:0.088498:0.500201:0.088498:0.000000:0.000000:0.000000:0.000000
x– x:@0.524302:0.105111:0.555845:0.105111:0.555845:0.088642:0.524302:0.088642:0.000000:0.000000:0.000000:0.000000
 :@0.531777:0.108341:0.534192:0.108341:0.534192:0.098739:0.531777:0.098739:0.000000
0   :@0.555845:0.108341:0.576189:0.108341:0.576189:0.098739:0.555845:0.098739:0.000000:0.000000:0.000000:0.000000
>  :@0.562965:0.104995:0.591253:0.104995:0.591253:0.088498:0.562965:0.088498:0.000000:0.000000:0.000000
0.:@0.576188:0.105111:0.587111:0.105111:0.587111:0.088642:0.576188:0.088642:0.000000:0.000000
Sea:@0.131970:0.122346:0.156090:0.122346:0.156090:0.105848:0.131970:0.105848:0.000000:0.000000:0.000000
x:@0.164817:0.122462:0.172292:0.122462:0.172292:0.105993:0.164817:0.105993:0.000000
0 :@0.172291:0.125624:0.179659:0.125624:0.179659:0.116006:0.172291:0.116006:0.000000:0.000000
= –2,5. Consideremos  la función real   definida como :@0.182327:0.122346:0.599919:0.122346:0.599919:0.105848:0.182327:0.105848:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f,:@0.471988:0.122462:0.478558:0.122462:0.478558:0.105993:0.471988:0.105993:0.000000:0.000000
 :@0.595760:0.122346:0.599902:0.122346:0.599902:0.105848:0.595760:0.105848:0.000000
f h:@0.131968:0.139812:0.151618:0.139812:0.151618:0.123344:0.131968:0.123344:0.000000:0.000000:0.000000
( ) = –2,5 +       :@0.136264:0.139697:0.262631:0.139697:0.262631:0.123199:0.136264:0.123199:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
h,:@0.224287:0.139812:0.236231:0.139812:0.236231:0.123344:0.224287:0.123344:0.000000:0.000000
h :@0.262207:0.139812:0.275750:0.139812:0.275750:0.123344:0.262207:0.123344:0.000000:0.000000
∈ :@0.275326:0.140246:0.293879:0.140246:0.293879:0.121406:0.275326:0.121406:0.000000:0.000000
R:@0.293378:0.138728:0.307288:0.138728:0.307288:0.125281:0.293378:0.125281:0.000000
. Primeramente, calculemos las distancias :@0.307288:0.139697:0.599952:0.139697:0.599952:0.123199:0.307288:0.123199:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
que se muestran en la tabla 4: :@0.131993:0.157048:0.346298:0.157048:0.346298:0.140550:0.131993:0.140550:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.108258:0.181527:0.112400:0.181527:0.112400:0.165030:0.108258:0.165030:0.000000
      (–2,5; –2,49) = |–2,5 –  (0,01)|= 2,5 –2,49 = 0,01;:@0.131993:0.181527:0.505026:0.181527:0.505026:0.165030:0.131993:0.165030:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
d :@0.153666:0.181643:0.166979:0.181643:0.166979:0.165174:0.153666:0.165174:0.000000:0.000000
f:@0.327901:0.181643:0.332198:0.181643:0.332198:0.165174:0.327901:0.165174:0.000000
 :@0.108258:0.201639:0.112400:0.201639:0.112400:0.185141:0.108258:0.185141:0.000000
    (–2,5; –2,495) = |–2,5 –  (0,001)|= 2,5 –2,499 = 0,001;:@0.131993:0.201639:0.531497:0.201639:0.531497:0.185141:0.131993:0.185141:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
d :@0.146153:0.201755:0.159465:0.201755:0.159465:0.185286:0.146153:0.185286:0.000000:0.000000
f:@0.328884:0.201755:0.333180:0.201755:0.333180:0.185286:0.328884:0.185286:0.000000
d :@0.134594:0.221868:0.147906:0.221868:0.147906:0.205399:0.134594:0.205399:0.000000:0.000000
(–2,5; –2,499 9) = |–2,5 –  (0,000 1)|= 2,5 –2,499 9 = 0,000 1;:@0.147906:0.221752:0.570489:0.221752:0.570489:0.205254:0.147906:0.205254:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f:@0.329963:0.221868:0.334259:0.221868:0.334259:0.205399:0.329963:0.205399:0.000000
 :@0.108258:0.241864:0.112400:0.241864:0.112400:0.225366:0.108258:0.225366:0.000000
d :@0.131993:0.241980:0.144727:0.241980:0.144727:0.225511:0.131993:0.225511:0.000000:0.000000
(–2,5; –2,499 998) = |–2,5 –  (0,000 002)|= 2,5 –2,499 998 = 0,000 002.:@0.144149:0.241864:0.594244:0.241864:0.594244:0.225366:0.144149:0.225366:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f:@0.326437:0.241980:0.330733:0.241980:0.330733:0.225511:0.326437:0.225511:0.000000
   :@0.108258:0.250669:0.120684:0.250669:0.120684:0.234172:0.108258:0.234172:0.000000:0.000000:0.000000
Se observa que los números reales –2,49; –2,495; –2,499 98 se apro-:@0.108258:0.268020:0.595879:0.268020:0.595879:0.251522:0.108258:0.251522:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ximan cada vez más a –2,5. Para   > 0 y  =  ( ) = 2,5 +  se tiene  :@0.108258:0.285371:0.599940:0.285371:0.599940:0.268873:0.108258:0.268873:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
h:@0.347070:0.285487:0.356472:0.285487:0.356472:0.269018:0.347070:0.269018:0.000000
x  f h:@0.405251:0.285487:0.453954:0.285487:0.453954:0.269018:0.405251:0.269018:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
h, :@0.522924:0.285487:0.539010:0.285487:0.539010:0.269018:0.522924:0.269018:0.000000:0.000000:0.000000
 :@0.595798:0.285371:0.599940:0.285371:0.599940:0.268873:0.595798:0.268873:0.000000
d :@0.108258:0.302837:0.120993:0.302837:0.120993:0.286369:0.108258:0.286369:0.000000:0.000000
(–2,5;   ( )) =  (–2,5; –2,5 +  ) =| –2,5 +  – (–2,5)|= –2,5 + :@0.120318:0.302722:0.517375:0.302722:0.517375:0.286224:0.120318:0.286224:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f h:@0.162740:0.302837:0.181235:0.302837:0.181235:0.286369:0.162740:0.286369:0.000000:0.000000:0.000000
d :@0.208572:0.302837:0.221307:0.302837:0.221307:0.286369:0.208572:0.286369:0.000000:0.000000
h:@0.304706:0.302837:0.314107:0.302837:0.314107:0.286369:0.304706:0.286369:0.000000
h :@0.385620:0.302837:0.398586:0.302837:0.398586:0.286369:0.385620:0.286369:0.000000:0.000000
 :@0.450005:0.302837:0.454147:0.302837:0.454147:0.286369:0.450005:0.286369:0.000000
h –:@0.516701:0.302837:0.539029:0.302837:0.539029:0.286369:0.516701:0.286369:0.000000:0.000000:0.000000
(2,5) = :@0.538451:0.302722:0.585054:0.302722:0.585054:0.286224:0.538451:0.286224:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
h.:@0.584380:0.302837:0.595746:0.302837:0.595746:0.286369:0.584380:0.286369:0.000000:0.000000
 :@0.108239:0.312785:0.112381:0.312785:0.112381:0.296287:0.108239:0.296287:0.000000
Si asignamos valores a   > 0 cada vez más próximos a cero, tendremos :@0.108239:0.330136:0.599844:0.330136:0.599844:0.313638:0.108239:0.313638:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
h:@0.264981:0.330251:0.274382:0.330251:0.274382:0.313783:0.264981:0.313783:0.000000
que  = :@0.108239:0.347487:0.167923:0.347487:0.167923:0.330989:0.108239:0.330989:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x  f(h) :@0.140373:0.347602:0.197610:0.347602:0.197610:0.331133:0.140373:0.331133:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
= –2,5 +   se aproxima cada vez más a :@0.198593:0.347487:0.484988:0.347487:0.484988:0.330989:0.198593:0.330989:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
h:@0.265829:0.347602:0.275230:0.347602:0.275230:0.331133:0.265829:0.331133:0.000000
x = f:@0.485971:0.347602:0.521330:0.347607:0.521330:0.331138:0.485971:0.331133:0.000000:0.000000:0.000000:0.000000:0.000000
0 :@0.493335:0.350835:0.500456:0.350835:0.500456:0.341234:0.493335:0.341234:0.000000:0.000000
(0) = –2,5. :@0.521330:0.347491:0.599933:0.347491:0.599933:0.330993:0.521330:0.330993:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.595771:0.347491:0.599913:0.347491:0.599913:0.330993:0.595771:0.330993:0.000000
En la tabla 4 se muestran algunos de estos valores y :@0.108245:0.364842:0.475263:0.364842:0.475263:0.348344:0.108245:0.348344:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
d :@0.108245:0.382308:0.121557:0.382308:0.121557:0.365839:0.108245:0.365839:0.000000:0.000000
(–2,5;  ( )) = |–2,5– (–2,5 +  )|=   :@0.121557:0.382192:0.371890:0.382192:0.371890:0.365695:0.121557:0.365695:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f h:@0.164653:0.382308:0.184304:0.382308:0.184304:0.365839:0.164653:0.365839:0.000000:0.000000:0.000000
 :@0.261057:0.382308:0.265199:0.382308:0.265199:0.365839:0.261057:0.365839:0.000000
h:@0.320490:0.382308:0.329892:0.382308:0.329892:0.365839:0.320490:0.365839:0.000000
h.:@0.355803:0.382308:0.367748:0.382308:0.367748:0.365839:0.355803:0.365839:0.000000:0.000000
Noción de límite de una función real:@0.108233:0.419046:0.400664:0.419046:0.400664:0.401363:0.108233:0.401363:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La noción de límite se limita al tipo de funciones afines, cuadráticas, :@0.108233:0.435753:0.599931:0.435753:0.599931:0.419256:0.108233:0.419256:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ya tratadas.:@0.108233:0.453104:0.188760:0.453104:0.188760:0.436607:0.108233:0.436607:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Definición:@0.108233:0.478046:0.188317:0.478046:0.188317:0.461100:0.108233:0.461100:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Sea   una función real definida en todo :@0.108233:0.494934:0.392974:0.494934:0.392974:0.478436:0.108233:0.478436:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f:@0.137285:0.495050:0.141581:0.495050:0.141581:0.478581:0.137285:0.478581:0.000000
,:@0.410532:0.495897:0.415557:0.495897:0.415557:0.476072:0.410532:0.476072:0.000000
.:@0.466961:0.495897:0.471986:0.495897:0.471986:0.476072:0.466961:0.476072:0.000000
∈:@0.433248:0.495776:0.447581:0.495776:0.447581:0.478788:0.433248:0.478788:0.000000
L:@0.420362:0.495233:0.428544:0.495233:0.428544:0.478048:0.420362:0.478048:0.000000
  Se dice que  ( ) :@0.474715:0.494933:0.599901:0.494933:0.599901:0.478436:0.474715:0.478436:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f x:@0.572082:0.495049:0.589806:0.495049:0.589806:0.478580:0.572082:0.478580:0.000000:0.000000:0.000000
tiende a   cuando   tiende a  ₀, si y solo si se verifica la condición: :@0.108232:0.512284:0.574276:0.512284:0.574276:0.495786:0.108232:0.495786:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
L:@0.169708:0.512400:0.177549:0.512400:0.177549:0.495931:0.169708:0.495931:0.000000
x:@0.239891:0.512400:0.247366:0.512400:0.247366:0.495931:0.239891:0.495931:0.000000
x:@0.312983:0.512400:0.320458:0.512400:0.320458:0.495931:0.312983:0.495931:0.000000
0, 0, 0,:@0.190997:0.536971:0.208428:0.536868:0.208428:0.519798:0.190997:0.519901:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0tal que0<( ,)<:@0.252302:0.536971:0.412365:0.536971:0.412365:0.519901:0.252302:0.519901:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
( (),)<.:@0.463673:0.536971:0.539639:0.536971:0.539639:0.519901:0.463673:0.519901:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0 0 0:@0.388564:0.539297:0.397942:0.539194:0.397942:0.529325:0.388564:0.529428:0.000000:0.000000:0.000000:0.000000:0.000000
∀ε> > >:@0.151129:0.537629:0.192123:0.537526:0.192123:0.520681:0.151129:0.520784:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
δ > > >:@0.225321:0.537629:0.253438:0.537526:0.253438:0.520681:0.225321:0.520784:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
δ δ δ:@0.411995:0.537629:0.426139:0.537526:0.426139:0.520681:0.411995:0.520784:0.000000:0.000000:0.000000:0.000000:0.000000
ε ε ε:@0.527747:0.537629:0.540794:0.537526:0.540794:0.520681:0.527747:0.520784:0.000000:0.000000:0.000000:0.000000:0.000000
dx x x x:@0.347730:0.537091:0.391953:0.536987:0.391953:0.519948:0.347730:0.520051:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
d fx L L L:@0.453834:0.537091:0.515778:0.536987:0.515778:0.519948:0.453834:0.520051:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
   :@0.207466:0.533199:0.219892:0.533199:0.219892:0.516702:0.207466:0.516702:0.000000:0.000000:0.000000
0tal que0<( ,)<:@0.255714:0.536516:0.415774:0.536516:0.415774:0.519446:0.255714:0.519446:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
( (),)<.:@0.467082:0.536516:0.543047:0.536516:0.543047:0.519446:0.467082:0.519446:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∀ε:@0.154543:0.537174:0.177407:0.537174:0.177407:0.520329:0.154543:0.520329:0.000000:0.000000
δ δ:@0.228735:0.537174:0.239464:0.537526:0.239464:0.520681:0.228735:0.520329:0.000000:0.000000:0.000000
dx:@0.351124:0.536635:0.374546:0.536635:0.374546:0.519596:0.351124:0.519596:0.000000:0.000000
d fx:@0.457220:0.536635:0.493837:0.536635:0.493837:0.519596:0.457220:0.519596:0.000000:0.000000:0.000000:0.000000
 :@0.449672:0.533199:0.453814:0.533199:0.453814:0.516702:0.449672:0.516702:0.000000
0tal que0<( ,)<:@0.256606:0.536868:0.416670:0.536868:0.416670:0.519798:0.256606:0.519798:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
( (),)<.:@0.467978:0.536868:0.543943:0.536868:0.543943:0.519798:0.467978:0.519798:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∀ε:@0.155426:0.537526:0.178290:0.537526:0.178290:0.520681:0.155426:0.520681:0.000000:0.000000
dx:@0.352027:0.536987:0.375449:0.536987:0.375449:0.519948:0.352027:0.519948:0.000000:0.000000
d fx:@0.458131:0.536987:0.494749:0.536987:0.494749:0.519948:0.458131:0.519948:0.000000:0.000000:0.000000:0.000000
Se escribe :@0.108233:0.558306:0.182768:0.558306:0.182768:0.541809:0.108233:0.541809:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0:@0.202871:0.566019:0.208682:0.566019:0.208682:0.554558:0.202871:0.554558:0.000000
lím (x):@0.185596:0.558467:0.241436:0.558467:0.241436:0.541252:0.185596:0.541252:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
.:@0.266947:0.558467:0.269822:0.558467:0.269822:0.541252:0.266947:0.541252:0.000000
=:@0.244438:0.559131:0.255475:0.559131:0.255475:0.542142:0.244438:0.542142:0.000000
→:@0.191563:0.565949:0.203034:0.565949:0.203034:0.556128:0.191563:0.556128:0.000000
f:@0.213969:0.558587:0.218452:0.558587:0.218452:0.541403:0.213969:0.541403:0.000000
L:@0.258256:0.558587:0.266438:0.558587:0.266438:0.541403:0.258256:0.541403:0.000000
x:@0.186328:0.565635:0.190837:0.565635:0.190837:0.555700:0.186328:0.555700:0.000000
Así, para cada :@0.108233:0.583517:0.212959:0.583517:0.212959:0.567019:0.108233:0.567019:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0:@0.242306:0.583677:0.251171:0.583677:0.251171:0.566462:0.242306:0.566462:0.000000
ε>:@0.216333:0.584341:0.239089:0.584341:0.239089:0.567352:0.216333:0.567352:0.000000:0.000000
 tal que :@0.254451:0.583517:0.314424:0.583517:0.314424:0.567019:0.254451:0.567019:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0,:@0.055385:0.584672:0.068521:0.584672:0.068521:0.567602:0.055385:0.567602:0.000000:0.000000
0tal que0<( ,)<:@0.116699:0.584672:0.276763:0.584672:0.276763:0.567602:0.116699:0.567602:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
( (),)<.:@0.328071:0.584672:0.404036:0.584672:0.404036:0.567602:0.328071:0.567602:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0:@0.252952:0.586997:0.258034:0.586997:0.258034:0.577129:0.252952:0.577129:0.000000
∀ε>:@0.015518:0.585330:0.052215:0.585330:0.052215:0.568485:0.015518:0.568485:0.000000:0.000000:0.000000
δ >:@0.089710:0.585330:0.113530:0.585330:0.113530:0.568485:0.089710:0.568485:0.000000:0.000000:0.000000
δ:@0.276384:0.585330:0.286231:0.585330:0.286231:0.568485:0.276384:0.568485:0.000000
ε:@0.392136:0.585330:0.400887:0.585330:0.400887:0.568485:0.392136:0.568485:0.000000
dx x:@0.212119:0.584791:0.252046:0.584791:0.252046:0.567751:0.212119:0.567751:0.000000:0.000000:0.000000:0.000000
d fx L:@0.318224:0.584791:0.375870:0.584791:0.375870:0.567751:0.318224:0.567751:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 podemos encontrar :@0.401043:0.583517:0.553872:0.583517:0.553872:0.567019:0.401043:0.567019:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0,:@0.522183:0.583414:0.535319:0.583414:0.535319:0.566345:0.522183:0.566345:0.000000:0.000000
0tal que0<( ,)<:@0.583498:0.583414:0.743561:0.583414:0.743561:0.566345:0.583498:0.566345:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
( (),)<.:@0.794869:0.583414:0.870834:0.583414:0.870834:0.566345:0.794869:0.566345:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0:@0.719751:0.585740:0.724833:0.585740:0.724833:0.575872:0.719751:0.575872:0.000000
∀ε>:@0.482317:0.584073:0.519014:0.584073:0.519014:0.567227:0.482317:0.567227:0.000000:0.000000:0.000000
δ >:@0.556509:0.584073:0.580329:0.584073:0.580329:0.567227:0.556509:0.567227:0.000000:0.000000:0.000000
δ:@0.743183:0.584073:0.753030:0.584073:0.753030:0.567227:0.743183:0.567227:0.000000
ε:@0.858935:0.584073:0.867686:0.584073:0.867686:0.567227:0.858935:0.567227:0.000000
dx x:@0.678918:0.583534:0.718845:0.583534:0.718845:0.566494:0.678918:0.566494:0.000000:0.000000:0.000000:0.000000
d fx L:@0.785023:0.583534:0.842669:0.583534:0.842669:0.566494:0.785023:0.566494:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.595768:0.583517:0.599910:0.583517:0.599910:0.567019:0.595768:0.567019:0.000000
de modo que si :@0.108241:0.600867:0.221770:0.600867:0.221770:0.584370:0.108241:0.584370:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
h = x – x:@0.221095:0.600983:0.280240:0.600983:0.280240:0.584514:0.221095:0.584514:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0:@0.280240:0.604145:0.285193:0.604145:0.285193:0.594527:0.280240:0.594527:0.000000
, :@0.285194:0.600867:0.292091:0.600867:0.292091:0.584370:0.285194:0.584370:0.000000:0.000000
0:@0.293092:0.603866:0.301626:0.603866:0.301626:0.587295:0.293092:0.587295:0.000000
<:@0.304784:0.604418:0.315407:0.604418:0.315407:0.585495:0.304784:0.585495:0.000000
<:@0.336635:0.604418:0.347258:0.604418:0.347258:0.585495:0.336635:0.585495:0.000000
h:@0.321513:0.603982:0.330956:0.603982:0.330956:0.587441:0.321513:0.587441:0.000000
ε:@0.350476:0.602738:0.358263:0.602738:0.358263:0.585392:0.350476:0.585392:0.000000
 siempre se verifica :@0.366803:0.600867:0.502546:0.600867:0.502546:0.584370:0.366803:0.584370:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0,:@0.240867:0.602022:0.254003:0.602022:0.254003:0.584953:0.240867:0.584953:0.000000:0.000000
0tal que0<( ,)<:@0.302181:0.602022:0.462245:0.602022:0.462245:0.584953:0.302181:0.584953:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
( (),)<.:@0.513553:0.602022:0.589518:0.602022:0.589518:0.584953:0.513553:0.584953:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0:@0.438435:0.604348:0.443517:0.604348:0.443517:0.594480:0.438435:0.594480:0.000000
∀ε>:@0.200999:0.602681:0.237696:0.602681:0.237696:0.585835:0.200999:0.585835:0.000000:0.000000:0.000000
δ >:@0.275191:0.602681:0.299011:0.602681:0.299011:0.585835:0.275191:0.585835:0.000000:0.000000:0.000000
δ:@0.461865:0.602681:0.471712:0.602681:0.471712:0.585835:0.461865:0.585835:0.000000
ε:@0.577617:0.602681:0.586368:0.602681:0.586368:0.585835:0.577617:0.585835:0.000000
dx x:@0.397600:0.602142:0.437527:0.602142:0.437527:0.585102:0.397600:0.585102:0.000000:0.000000:0.000000:0.000000
d fx L:@0.503705:0.602142:0.561351:0.602142:0.561351:0.585102:0.503705:0.585102:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
     :@0.595768:0.600867:0.599910:0.600867:0.599910:0.584370:0.595768:0.584370:0.000000:0.000000:0.000000:0.000000:0.000000
Ejercicio resuelto:@0.108241:0.639140:0.226220:0.639140:0.226220:0.622353:0.108241:0.622353:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1.:@0.108241:0.664198:0.122652:0.664198:0.122652:0.647006:0.108241:0.647006:0.000000:0.000000
  :@0.122652:0.663952:0.130704:0.663952:0.130704:0.647006:0.122652:0.647006:0.000000:0.000000
Sea la función real  definida como  ( ) =   + 2 ,  :@0.131976:0.663490:0.471075:0.663491:0.471075:0.646993:0.131976:0.646992:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f:@0.258701:0.663605:0.262997:0.663605:0.262997:0.647137:0.258701:0.647137:0.000000
f h:@0.371018:0.663605:0.390668:0.663605:0.390668:0.647137:0.371018:0.647137:0.000000:0.000000:0.000000
L:@0.412900:0.663605:0.420741:0.663605:0.420741:0.647137:0.412900:0.647137:0.000000
h:@0.445516:0.663605:0.454918:0.663605:0.454918:0.647137:0.445516:0.647137:0.000000
2:@0.454895:0.657139:0.459849:0.657139:0.459849:0.647521:0.454895:0.647521:0.000000
 :@0.459849:0.666766:0.462263:0.666766:0.462263:0.657148:0.459849:0.657148:0.000000
 :@0.480800:0.664040:0.485616:0.664040:0.485616:0.645200:0.480800:0.645200:0.000000
h   :@0.483978:0.663607:0.513107:0.663607:0.513107:0.647138:0.483978:0.647138:0.000000:0.000000:0.000000:0.000000
∈:@0.496116:0.663462:0.508965:0.663462:0.508965:0.646068:0.496116:0.646068:0.000000
R:@0.511701:0.662522:0.525611:0.662522:0.525611:0.649075:0.511701:0.649075:0.000000
. Tenemos  :@0.525611:0.663491:0.599917:0.663491:0.599917:0.646993:0.525611:0.646993:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
h :@0.132516:0.692521:0.138878:0.692521:0.138878:0.683929:0.132516:0.683929:0.000000:0.000000
→:@0.138175:0.692748:0.148095:0.692748:0.148095:0.682918:0.138175:0.682918:0.000000
 0:@0.147392:0.692461:0.153282:0.692461:0.153282:0.683854:0.147392:0.683854:0.000000:0.000000
h :@0.208494:0.692521:0.214857:0.692521:0.214857:0.683929:0.208494:0.683929:0.000000:0.000000
→:@0.214153:0.692748:0.224074:0.692748:0.224074:0.682918:0.214153:0.682918:0.000000
 0:@0.223371:0.692461:0.229261:0.692461:0.229261:0.683854:0.223371:0.683854:0.000000:0.000000
lím :@0.131976:0.684561:0.158639:0.684561:0.158639:0.668063:0.131976:0.668063:0.000000:0.000000:0.000000:0.000000
f(h) = :@0.158639:0.684676:0.202371:0.684676:0.202371:0.668208:0.158639:0.668208:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
lím (  +2 ) =    , pues si   > 0, y tomando en considera-:@0.202371:0.684561:0.595827:0.686122:0.595827:0.669625:0.202371:0.668063:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
L:@0.234988:0.684676:0.242829:0.684676:0.242829:0.668208:0.234988:0.668208:0.000000
h:@0.266274:0.684676:0.275676:0.684676:0.275676:0.668208:0.266274:0.668208:0.000000
2:@0.275675:0.678208:0.280628:0.678208:0.280628:0.668590:0.275675:0.668590:0.000000
L:@0.305672:0.684676:0.313513:0.684676:0.313513:0.668208:0.305672:0.668208:0.000000
e:@0.377320:0.685905:0.386953:0.685905:0.386953:0.671259:0.377320:0.671259:0.000000
ción que si | | < 1, se tiene   ≤ | |, entonces:@0.131996:0.708751:0.449584:0.708754:0.449584:0.692256:0.131996:0.692253:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
h:@0.217399:0.708866:0.226801:0.708866:0.226801:0.692398:0.217399:0.692398:0.000000
h:@0.324705:0.708866:0.334106:0.708866:0.334106:0.692398:0.324705:0.692398:0.000000
2:@0.334086:0.702470:0.338792:0.702470:0.338792:0.692868:0.334086:0.692868:0.000000
 :@0.353741:0.709303:0.358557:0.709303:0.358557:0.690463:0.353741:0.690463:0.000000
h  :@0.363566:0.708869:0.384874:0.708869:0.384874:0.692401:0.363566:0.692401:0.000000:0.000000:0.000000
d(f (h), L) = d L + 2h , L  =  L +  h  – L =  h:@0.131979:0.731498:0.422512:0.731501:0.422512:0.715032:0.131979:0.715029:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(  :@0.217150:0.731382:0.234605:0.731382:0.234605:0.714884:0.217150:0.714884:0.000000:0.000000:0.000000
2:@0.265175:0.725033:0.270128:0.725033:0.270128:0.715415:0.265175:0.715415:0.000000
  ) |:@0.272216:0.731385:0.312404:0.731385:0.312404:0.714888:0.272216:0.714888:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.337005:0.731385:0.345501:0.731385:0.345501:0.714888:0.337005:0.714888:0.000000
2:@0.353937:0.725033:0.358890:0.725033:0.358890:0.715415:0.353937:0.715415:0.000000
|  2  ≤ 2| | < :@0.382845:0.731385:0.488467:0.731385:0.488467:0.714888:0.382845:0.714888:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.422031:0.725033:0.426984:0.725033:0.426984:0.715415:0.422031:0.715415:0.000000
h:@0.456891:0.731501:0.466293:0.731501:0.466293:0.715032:0.456891:0.715032:0.000000
e :@0.487985:0.731168:0.501953:0.731168:0.501953:0.716521:0.487985:0.716521:0.000000:0.000000
⇒ :@0.501953:0.731935:0.525302:0.731935:0.525302:0.713095:0.501953:0.713095:0.000000:0.000000
| | <:@0.524339:0.731385:0.556782:0.731385:0.556782:0.714888:0.524339:0.714888:0.000000:0.000000:0.000000:0.000000:0.000000
h:@0.528866:0.731501:0.538268:0.731501:0.538268:0.715032:0.528866:0.715032:0.000000
 :@0.556300:0.731935:0.561117:0.731935:0.561117:0.713095:0.556300:0.713095:0.000000
2:@0.564431:0.741515:0.572927:0.741515:0.572927:0.725018:0.564431:0.725018:0.000000
e:@0.564431:0.724613:0.574064:0.724613:0.574064:0.709966:0.564431:0.709966:0.000000
.:@0.577724:0.731379:0.580479:0.731379:0.580479:0.714881:0.577724:0.714881:0.000000
Elegimos:@0.131964:0.765415:0.195191:0.765415:0.195191:0.748918:0.131964:0.748918:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
.:@0.227493:0.763861:0.229536:0.763861:0.229536:0.751629:0.227493:0.751629:0.000000
0:@0.199269:0.796616:0.205568:0.796616:0.205568:0.784384:0.199269:0.784384:0.000000
( (),):@0.274190:0.796616:0.320600:0.796616:0.320600:0.784384:0.274190:0.784384:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
.:@0.338726:0.796616:0.340769:0.796616:0.340769:0.784384:0.338726:0.784384:0.000000
2:@0.219198:0.772100:0.224972:0.772100:0.224972:0.760887:0.219198:0.760887:0.000000
0:@0.311301:0.798275:0.314942:0.798275:0.314942:0.791204:0.311301:0.791204:0.000000
δ=:@0.198971:0.764268:0.216040:0.764268:0.216040:0.750299:0.198971:0.750299:0.000000:0.000000
<:@0.207898:0.797020:0.215740:0.797020:0.215740:0.783051:0.207898:0.783051:0.000000
<δ:@0.231410:0.797020:0.248280:0.797020:0.248280:0.783051:0.231410:0.783051:0.000000:0.000000
<ε:@0.322730:0.797020:0.338514:0.797020:0.338514:0.783051:0.322730:0.783051:0.000000:0.000000
ε:@0.219198:0.757397:0.224946:0.757397:0.224946:0.744592:0.219198:0.744592:0.000000
h:@0.220240:0.796702:0.227210:0.796702:0.227210:0.784491:0.220240:0.784491:0.000000
d fh x:@0.267106:0.796702:0.310645:0.796702:0.310645:0.784491:0.267106:0.784491:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Luego :@0.248318:0.765417:0.300005:0.765417:0.300005:0.748919:0.248318:0.748919:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
.:@0.330283:0.730536:0.332451:0.730536:0.332451:0.717551:0.330283:0.717551:0.000000
0:@0.300321:0.765302:0.307008:0.765302:0.307008:0.752317:0.300321:0.752317:0.000000
( (),):@0.379850:0.765302:0.429109:0.765307:0.429109:0.752322:0.379850:0.752317:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
.:@0.448350:0.765307:0.450519:0.765307:0.450519:0.752322:0.448350:0.752322:0.000000
2:@0.321478:0.739281:0.327607:0.739281:0.327607:0.727379:0.321478:0.727379:0.000000
0:@0.419246:0.767067:0.423112:0.767067:0.423112:0.759560:0.419246:0.759560:0.000000
δ=:@0.300006:0.730968:0.318126:0.730968:0.318126:0.716140:0.300006:0.716140:0.000000:0.000000
<:@0.309483:0.765739:0.317807:0.765739:0.317807:0.750911:0.309483:0.750911:0.000000
<δ:@0.334441:0.765739:0.352353:0.765739:0.352353:0.750911:0.334441:0.750911:0.000000:0.000000
<ε:@0.431382:0.765739:0.448145:0.765739:0.448145:0.750911:0.431382:0.750911:0.000000:0.000000
ε:@0.321478:0.723675:0.327580:0.723675:0.327580:0.710082:0.321478:0.710082:0.000000
h:@0.322583:0.765398:0.329983:0.765398:0.329983:0.752436:0.322583:0.752436:0.000000
d fh x:@0.372333:0.765398:0.418549:0.765398:0.418549:0.752436:0.372333:0.752436:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.108233:0.800587:0.112375:0.800587:0.112375:0.784089:0.108233:0.784089:0.000000
Esta última implicación significa que lím :@0.131968:0.800587:0.406580:0.800283:0.406580:0.783785:0.131968:0.784089:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
h :@0.380456:0.808243:0.386819:0.808243:0.386819:0.799651:0.380456:0.799651:0.000000:0.000000
→:@0.386115:0.808470:0.396036:0.808470:0.396036:0.798640:0.386115:0.798640:0.000000
 0:@0.395332:0.808183:0.401222:0.808183:0.401222:0.799576:0.395332:0.799576:0.000000:0.000000
h :@0.456435:0.808243:0.462798:0.808243:0.462798:0.799651:0.456435:0.799651:0.000000:0.000000
→:@0.462094:0.808470:0.472015:0.808470:0.472015:0.798640:0.462094:0.798640:0.000000
 0:@0.471311:0.808183:0.477201:0.808183:0.477201:0.799576:0.471311:0.799576:0.000000:0.000000
f (h) = :@0.406580:0.800398:0.454454:0.800398:0.454454:0.783930:0.406580:0.783930:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
lím (  + 2h ) =  . :@0.454454:0.800283:0.579716:0.800586:0.579716:0.784089:0.454454:0.783785:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
  L:@0.476975:0.800398:0.494911:0.800398:0.494911:0.783930:0.476975:0.783930:0.000000:0.000000:0.000000
2:@0.532149:0.793930:0.537102:0.793930:0.537102:0.784312:0.532149:0.784312:0.000000
L:@0.562146:0.800398:0.569987:0.800398:0.569987:0.783930:0.562146:0.783930:0.000000
 :@0.108238:0.833914:0.112380:0.833914:0.112380:0.817417:0.108238:0.817417:0.000000
En otras palabras,  ( ) =  + :@0.131973:0.833914:0.335780:0.833914:0.335780:0.817417:0.131973:0.817417:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f h:@0.261840:0.834030:0.281491:0.834030:0.281491:0.817561:0.261840:0.817561:0.000000:0.000000:0.000000
L  2h:@0.308077:0.834030:0.354024:0.834030:0.354024:0.817561:0.308077:0.817561:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.354036:0.827559:0.358989:0.827559:0.358989:0.817941:0.354036:0.817941:0.000000
 se aproxima a | |, conforme  se :@0.358988:0.833911:0.599900:0.833911:0.599900:0.817413:0.358988:0.817413:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
L:@0.472191:0.834026:0.480032:0.834026:0.480032:0.817557:0.472191:0.817557:0.000000
h :@0.566879:0.834026:0.580423:0.834026:0.580423:0.817557:0.566879:0.817557:0.000000:0.000000
aproxima a cero, o lo que es lo mismo, la distancia de  ( ) =   + 2  :@0.131966:0.857797:0.599910:0.857799:0.599910:0.841302:0.131966:0.841299:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f h:@0.503763:0.857912:0.523413:0.857912:0.523413:0.841444:0.503763:0.841444:0.000000:0.000000:0.000000
L:@0.547263:0.857912:0.555104:0.857912:0.555104:0.841444:0.547263:0.841444:0.000000
h:@0.581498:0.857912:0.590899:0.857912:0.590899:0.841444:0.581498:0.841444:0.000000
2:@0.590814:0.851447:0.595768:0.851447:0.595768:0.841829:0.590814:0.841829:0.000000
a   es suficientemente pequeña conforme   es suficientemente :@0.131976:0.879170:0.599943:0.879170:0.599943:0.862672:0.131976:0.862672:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
L:@0.146021:0.879285:0.153862:0.879285:0.153862:0.862817:0.146021:0.862817:0.000000
h:@0.445514:0.879285:0.454916:0.879285:0.454916:0.862817:0.445514:0.862817:0.000000
pequeño.:@0.131976:0.900540:0.198788:0.900540:0.198788:0.884042:0.131976:0.884042:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
h:@0.663466:0.364129:0.670154:0.364129:0.670154:0.352452:0.663466:0.352452:0.000000
f (h):@0.713777:0.364129:0.732915:0.364129:0.732915:0.352452:0.713777:0.352452:0.000000:0.000000:0.000000:0.000000:0.000000
 = –2,5 + :@0.732379:0.364019:0.776324:0.364019:0.776324:0.352391:0.732379:0.352391:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
h:@0.775788:0.364129:0.782475:0.364129:0.782475:0.352452:0.775788:0.352452:0.000000
d :@0.802578:0.364129:0.811504:0.364129:0.811504:0.352452:0.802578:0.352452:0.000000:0.000000
(–2,5; :@0.810834:0.364019:0.838428:0.364019:0.838428:0.352391:0.810834:0.352391:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f (h):@0.837758:0.364129:0.856360:0.364129:0.856360:0.352452:0.837758:0.352452:0.000000:0.000000:0.000000:0.000000:0.000000
):@0.855690:0.364019:0.860059:0.364019:0.860059:0.352391:0.855690:0.352391:0.000000
0,1:@0.636126:0.387124:0.654156:0.387124:0.654156:0.372061:0.636126:0.372061:0.000000:0.000000:0.000000
–2,4:@0.710901:0.387124:0.738518:0.387124:0.738518:0.372061:0.710901:0.372061:0.000000:0.000000:0.000000:0.000000
0,1 :@0.798746:0.387124:0.820558:0.387124:0.820558:0.372061:0.798746:0.372061:0.000000:0.000000:0.000000:0.000000
0,01:@0.636126:0.408510:0.661913:0.408510:0.661913:0.393447:0.636126:0.393447:0.000000:0.000000:0.000000:0.000000
–2,49:@0.710901:0.408510:0.746275:0.408510:0.746275:0.393447:0.710901:0.393447:0.000000:0.000000:0.000000:0.000000:0.000000
0,01 :@0.798746:0.408510:0.828315:0.408510:0.828315:0.393447:0.798746:0.393447:0.000000:0.000000:0.000000:0.000000:0.000000
0,001:@0.636126:0.429897:0.669670:0.429897:0.669670:0.414834:0.636126:0.414834:0.000000:0.000000:0.000000:0.000000:0.000000
–2,499:@0.710901:0.429897:0.754032:0.429897:0.754032:0.414834:0.710901:0.414834:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0,001:@0.798746:0.429897:0.832290:0.429897:0.832290:0.414834:0.798746:0.414834:0.000000:0.000000:0.000000:0.000000:0.000000
0,000 1:@0.636126:0.451284:0.681209:0.451284:0.681209:0.436221:0.636126:0.436221:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
–2,499 9:@0.710901:0.451284:0.765571:0.451284:0.765571:0.436221:0.710901:0.436221:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0,0001 :@0.798746:0.451284:0.843829:0.451284:0.843829:0.436221:0.798746:0.436221:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0,000 01:@0.636126:0.472670:0.688967:0.472670:0.688967:0.457607:0.636126:0.457607:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
–2,499 99:@0.710901:0.472670:0.773328:0.472670:0.773328:0.457607:0.710901:0.457607:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0,000 01:@0.798746:0.472670:0.851586:0.472670:0.851586:0.457607:0.798746:0.457607:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0,000 002 –2,499 998:@0.636126:0.494057:0.781086:0.494057:0.781086:0.478994:0.636126:0.478994:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0,000 002:@0.798746:0.494057:0.859344:0.494057:0.859344:0.478994:0.798746:0.478994:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p:@0.826100:0.510772:0.837580:0.510772:0.837580:0.500748:0.826100:0.500748:0.000000
 :@0.837580:0.511480:0.840462:0.511480:0.840462:0.500003:0.837580:0.500003:0.000000
Tabla 4:@0.840462:0.511480:0.875307:0.511480:0.875307:0.500003:0.840462:0.500003:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Competencia :@0.684804:0.650209:0.782426:0.650209:0.782426:0.634736:0.684804:0.634736:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
matemática:@0.684804:0.662777:0.768866:0.662777:0.768866:0.647304:0.684804:0.647304:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Del punto de vista  :@0.685042:0.687250:0.811881:0.687250:0.811881:0.672187:0.685042:0.672187:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
intuitivo, a medida que | | se :@0.638498:0.703092:0.830420:0.703092:0.830420:0.688029:0.638498:0.688029:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
h:@0.796402:0.703198:0.804986:0.703198:0.804986:0.688161:0.796402:0.688161:0.000000
hace cada vez más pequeño  :@0.638498:0.718934:0.828590:0.718934:0.828590:0.703871:0.638498:0.703871:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
o próximo a cero, la distancia :@0.638498:0.734776:0.830581:0.734776:0.830581:0.719713:0.638498:0.719713:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de  ( ) a   es también muy :@0.638498:0.750618:0.816138:0.750618:0.816138:0.735555:0.638498:0.735555:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f h:@0.658586:0.750724:0.676528:0.750724:0.676528:0.735687:0.658586:0.735687:0.000000:0.000000:0.000000
L:@0.696686:0.750724:0.703845:0.750724:0.703845:0.735687:0.696686:0.735687:0.000000
pequeña.:@0.638498:0.766460:0.698410:0.766460:0.698410:0.751397:0.638498:0.751397:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Competencia :@0.684269:0.104003:0.781892:0.104003:0.781892:0.088531:0.684269:0.088531:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
comunicacional:@0.684269:0.116571:0.796228:0.116571:0.796228:0.101099:0.684269:0.101099:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Aprende la siguiente :@0.677697:0.141046:0.814162:0.141046:0.814162:0.125983:0.677697:0.125983:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
simbología matemática::@0.637961:0.156888:0.792734:0.156888:0.792734:0.141825:0.637961:0.141825:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.637969:0.178238:0.645444:0.178238:0.645444:0.161769:0.637969:0.161769:0.000000
 :@0.645444:0.178122:0.649586:0.178122:0.649586:0.161625:0.645444:0.161625:0.000000
→ :@0.649586:0.178672:0.673417:0.178672:0.673417:0.159832:0.649586:0.159832:0.000000:0.000000
0 :@0.673417:0.178122:0.686055:0.178122:0.686055:0.161625:0.673417:0.161625:0.000000:0.000000
se lee  tiende a cero” o :@0.686055:0.177802:0.845718:0.177802:0.845718:0.162739:0.686055:0.162739:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
“x :@0.725367:0.177907:0.740459:0.177907:0.740459:0.162871:0.725367:0.162871:0.000000:0.000000:0.000000
también “ se aproxima a cero”.:@0.637964:0.193644:0.838946:0.193644:0.838946:0.178581:0.637964:0.178581:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x :@0.701708:0.193749:0.712315:0.193749:0.712315:0.178713:0.701708:0.178713:0.000000:0.000000
x:@0.637969:0.214995:0.645444:0.214995:0.645444:0.198527:0.637969:0.198527:0.000000
 :@0.645444:0.214880:0.649586:0.214880:0.649586:0.198382:0.645444:0.198382:0.000000
→ :@0.649586:0.215429:0.673417:0.215429:0.673417:0.196589:0.649586:0.196589:0.000000:0.000000
x:@0.673417:0.214995:0.680892:0.214995:0.680892:0.198527:0.673417:0.198527:0.000000
0:@0.680880:0.218158:0.685833:0.218158:0.685833:0.208539:0.680880:0.208539:0.000000
 :@0.685834:0.214880:0.689976:0.214880:0.689976:0.198382:0.685834:0.198382:0.000000
que se lee “  tiende a  ”:@0.689970:0.214559:0.846123:0.214559:0.846123:0.199496:0.689970:0.199496:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.762898:0.214665:0.769723:0.214665:0.769723:0.199628:0.762898:0.199628:0.000000
x:@0.829633:0.214665:0.836458:0.214665:0.836458:0.199628:0.829633:0.199628:0.000000
0  :@0.836428:0.217552:0.848326:0.217552:0.848326:0.208770:0.836428:0.208770:0.000000:0.000000:0.000000
o también “ se aproxima a  ”.:@0.637969:0.230401:0.835100:0.230401:0.835100:0.215338:0.637969:0.215338:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x :@0.714202:0.230507:0.724809:0.230507:0.724809:0.215470:0.714202:0.215470:0.000000:0.000000
x:@0.817438:0.230507:0.824263:0.230507:0.824263:0.215470:0.817438:0.215470:0.000000
0:@0.824262:0.233394:0.828785:0.233394:0.828785:0.224612:0.824262:0.224612:0.000000
 ©:@0.079553:0.731952:0.079553:0.720342:0.061505:0.720342:0.061505:0.731952:0.000000:0.000000
maya:@0.080774:0.720340:0.080774:0.684191:0.055786:0.684191:0.055786:0.720340:0.000000:0.000000:0.000000:0.000000
®EDUCACIÓN – Libro resuelto solo para fines didácticos – Prohibida su reproducción :@0.079553:0.684191:0.079553:0.268044:0.061505:0.268044:0.061505:0.684191:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000