111:@0.916858:0.966074:0.945034:0.966074:0.945034:0.949450:0.916858:0.949450:0.000000:0.000000:0.000000
Potenciación con exponentes reales:@0.108233:0.096070:0.393286:0.096070:0.393286:0.078388:0.108233:0.078388:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Sea   > 0 con   ≠ 1 fijo. Para       \  , ¿cómo se define  ? :@0.108233:0.112778:0.531192:0.112778:0.531192:0.096280:0.108233:0.096280:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.136495:0.112894:0.145473:0.112894:0.145473:0.096425:0.136495:0.096425:0.000000
a:@0.208295:0.112894:0.217273:0.112894:0.217273:0.096425:0.208295:0.096425:0.000000
x:@0.312616:0.112894:0.320091:0.112894:0.320091:0.096425:0.312616:0.096425:0.000000
:@0.324175:0.112259:0.338827:0.112259:0.338827:0.098886:0.324175:0.098886:0.000000
 Q:@0.342968:0.111691:0.381602:0.111691:0.381602:0.098829:0.342968:0.098829:0.000000:0.000000:0.000000
a:@0.507711:0.112894:0.516688:0.112894:0.516688:0.096425:0.507711:0.096425:0.000000
x:@0.516687:0.106426:0.521348:0.106426:0.521348:0.096808:0.516687:0.096808:0.000000
¿Qué significado atribuimos a  ?:@0.108223:0.130129:0.341897:0.130129:0.341897:0.113631:0.108223:0.113631:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.322549:0.130244:0.331527:0.130244:0.331527:0.113776:0.322549:0.113776:0.000000
x:@0.331534:0.123777:0.336195:0.123777:0.336195:0.114159:0.331534:0.114159:0.000000
Consideramos, por ejemplo, 2   . Tomando aproximaciones de:@0.108229:0.164830:0.545820:0.164830:0.545820:0.148333:0.108229:0.148333:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.326312:0.158479:0.331266:0.158479:0.331266:0.148860:0.326312:0.148860:0.000000
   2 (  2   1,414 213 562), tenemos las siguientes::@0.108231:0.182181:0.444048:0.182181:0.444048:0.165683:0.108231:0.165683:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
≅:@0.158246:0.188230:0.170134:0.188230:0.170134:0.171822:0.158246:0.171822:0.000000
2    2,657 376 28,:@0.284301:0.216883:0.419697:0.216883:0.419697:0.200385:0.284301:0.200385:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1,41:@0.292801:0.210531:0.309267:0.210531:0.309267:0.200913:0.292801:0.200913:0.000000:0.000000:0.000000:0.000000
≅:@0.313408:0.222932:0.325296:0.222932:0.325296:0.206523:0.313408:0.206523:0.000000
2:@0.275111:0.234233:0.283607:0.234233:0.283607:0.217736:0.275111:0.217736:0.000000
1,4142:@0.283600:0.227882:0.309972:0.227882:0.309972:0.218263:0.283600:0.218263:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
   2,665 119 089,:@0.309970:0.234233:0.428898:0.234233:0.428898:0.217736:0.309970:0.217736:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
≅:@0.314113:0.240282:0.326002:0.240282:0.326002:0.223874:0.314113:0.223874:0.000000
2:@0.270153:0.251584:0.278648:0.251584:0.278648:0.235086:0.270153:0.235086:0.000000
1,414213:@0.278647:0.245232:0.314925:0.245232:0.314925:0.235614:0.278647:0.235614:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
   2,665 143 104,:@0.314924:0.251584:0.433852:0.251584:0.433852:0.235086:0.314924:0.235086:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
≅:@0.319067:0.257633:0.330955:0.257633:0.330955:0.241225:0.319067:0.241225:0.000000
2:@0.265204:0.268935:0.273700:0.268935:0.273700:0.252437:0.265204:0.252437:0.000000
1,41421356:@0.273693:0.262583:0.319878:0.262583:0.319878:0.252965:0.273693:0.252965:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
   2,665 144 138,:@0.319878:0.268935:0.438804:0.268935:0.438804:0.252437:0.319878:0.252437:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
≅:@0.324019:0.274984:0.335907:0.274984:0.335907:0.258576:0.324019:0.258576:0.000000
⋮:@0.349530:0.292335:0.354479:0.292335:0.354479:0.275926:0.349530:0.275926:0.000000
2      2,665 144 143.:@0.282634:0.303636:0.421368:0.303636:0.421368:0.287139:0.282634:0.287139:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.297488:0.297285:0.302441:0.297285:0.302441:0.287666:0.297488:0.287666:0.000000
≅:@0.306583:0.309685:0.318471:0.309685:0.318471:0.293277:0.306583:0.293277:0.000000
En definitiva, consideramos aproximaciones de 2  siendo ( ) una:@0.108231:0.338338:0.578028:0.338338:0.578028:0.321840:0.108231:0.321840:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
r m:@0.453076:0.332054:0.465218:0.334566:0.465218:0.324964:0.453076:0.322452:0.000000:0.000000:0.000000
r:@0.526463:0.338453:0.532493:0.338453:0.532493:0.321985:0.526463:0.321985:0.000000
m:@0.532355:0.341683:0.540981:0.341683:0.540981:0.332082:0.532355:0.332082:0.000000
sucesión de números racionales que son aproximaciones de    2  y :@0.108226:0.359245:0.577695:0.359245:0.577695:0.342748:0.108226:0.342748:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
que convergen a    2 , de modo que, en forma intuitiva,:@0.108226:0.376596:0.495108:0.376596:0.495108:0.360099:0.108226:0.360099:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2    = lím 2 , y           2 .:@0.261558:0.411298:0.442430:0.411305:0.442430:0.394808:0.261558:0.394800:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.276425:0.404954:0.281379:0.404954:0.281379:0.395335:0.276425:0.395335:0.000000
r:@0.335630:0.403538:0.339451:0.403538:0.339451:0.393102:0.335630:0.393102:0.000000
m:@0.340061:0.404667:0.345687:0.404667:0.345687:0.398406:0.340061:0.398406:0.000000
r:@0.368689:0.411421:0.374719:0.411421:0.374719:0.394952:0.368689:0.394952:0.000000
m:@0.373273:0.414651:0.381899:0.414651:0.381899:0.405049:0.373273:0.405049:0.000000
→:@0.390183:0.419404:0.406327:0.419404:0.406327:0.399541:0.390183:0.399541:0.000000
Observa que       y 2  están bien definidos.:@0.108236:0.446007:0.443292:0.446007:0.443292:0.429509:0.108236:0.429509:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
r:@0.203365:0.446122:0.209395:0.446122:0.209395:0.429654:0.203365:0.429654:0.000000
m:@0.209258:0.449352:0.217884:0.449352:0.217884:0.439751:0.209258:0.439751:0.000000
:@0.222025:0.445488:0.236678:0.445488:0.236678:0.432115:0.222025:0.432115:0.000000
Q:@0.240820:0.444920:0.256170:0.444920:0.256170:0.432058:0.240820:0.432058:0.000000
r m:@0.280771:0.439723:0.292912:0.442235:0.292912:0.432633:0.280771:0.430121:0.000000:0.000000:0.000000
De manera general,   se aproxima con una sucesión de números rea-:@0.108235:0.480708:0.595750:0.480708:0.595750:0.464211:0.108235:0.464211:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.247908:0.480824:0.256885:0.480824:0.256885:0.464355:0.247908:0.464355:0.000000
x:@0.256909:0.474424:0.261267:0.474424:0.261267:0.464823:0.256909:0.464823:0.000000
les de la forma :@0.108242:0.498059:0.213276:0.498059:0.213276:0.481561:0.108242:0.481561:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.212660:0.498175:0.221638:0.498175:0.221638:0.481706:0.212660:0.481706:0.000000
r m:@0.221471:0.491775:0.233612:0.494287:0.233612:0.484686:0.221471:0.482174:0.000000:0.000000:0.000000
, siendo       aproximación de  , de modo que   :@0.233611:0.498059:0.599910:0.498059:0.599910:0.481561:0.233611:0.481561:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
r:@0.290423:0.498175:0.296453:0.498175:0.296453:0.481706:0.290423:0.481706:0.000000
m:@0.296319:0.501404:0.304945:0.501404:0.304945:0.491803:0.296319:0.491803:0.000000
:@0.308469:0.497540:0.323122:0.497540:0.323122:0.484167:0.308469:0.484167:0.000000
Q:@0.326647:0.496972:0.341998:0.496972:0.341998:0.484110:0.326647:0.484110:0.000000
x:@0.467992:0.498175:0.475467:0.498175:0.475467:0.481706:0.467992:0.481706:0.000000
r:@0.581251:0.498175:0.587281:0.498175:0.587281:0.481706:0.581251:0.481706:0.000000
m:@0.587142:0.501404:0.595768:0.501404:0.595768:0.491803:0.587142:0.491803:0.000000
converge a   para   que tiende al infinito.:@0.108241:0.515410:0.404788:0.515410:0.404788:0.498912:0.108241:0.498912:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.188749:0.515525:0.196224:0.515525:0.196224:0.499057:0.188749:0.499057:0.000000
m:@0.235737:0.515525:0.250533:0.515525:0.250533:0.499057:0.235737:0.499057:0.000000
Definición  :@0.108241:0.550574:0.195706:0.550574:0.195706:0.533628:0.108241:0.533628:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
.:@0.188327:0.550328:0.191679:0.550328:0.191679:0.533614:0.188327:0.533614:0.000000
Sea   > 0,   ≠ 1 fijo. La función   de   en :@0.197228:0.550111:0.508119:0.550111:0.508119:0.533614:0.197228:0.533614:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.227050:0.550227:0.236028:0.550227:0.236028:0.533758:0.227050:0.533758:0.000000
a:@0.275194:0.550227:0.284172:0.550227:0.284172:0.533758:0.275194:0.533758:0.000000
f:@0.433880:0.550227:0.438176:0.550227:0.438176:0.533758:0.433880:0.533758:0.000000
:@0.467420:0.549024:0.480724:0.549024:0.480724:0.536162:0.467420:0.536162:0.000000
:@0.509679:0.549024:0.522984:0.549024:0.522984:0.536162:0.509679:0.536162:0.000000
+:@0.522984:0.542502:0.529285:0.542502:0.529285:0.532884:0.522984:0.532884:0.000000
, definida :@0.529284:0.550111:0.599911:0.550111:0.599911:0.533614:0.529284:0.533614:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
como::@0.108242:0.567462:0.152784:0.567462:0.152784:0.550964:0.108242:0.550964:0.000000:0.000000:0.000000:0.000000:0.000000
f x:@0.291050:0.584928:0.308774:0.584928:0.308774:0.568460:0.291050:0.568460:0.000000:0.000000:0.000000
( ) =  ,         ,:@0.295346:0.584813:0.412958:0.584813:0.412958:0.568315:0.295346:0.568315:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.333819:0.584928:0.342797:0.584928:0.342797:0.568460:0.333819:0.568460:0.000000
x:@0.342807:0.578529:0.347165:0.578529:0.347165:0.568927:0.342807:0.568927:0.000000
x:@0.366487:0.584928:0.373962:0.584928:0.373962:0.568460:0.366487:0.568460:0.000000
:@0.378104:0.584294:0.392757:0.584294:0.392757:0.570921:0.378104:0.570921:0.000000
:@0.396899:0.583726:0.410203:0.583726:0.410203:0.570864:0.396899:0.570864:0.000000
se llama función exponencial de base  .:@0.108240:0.609292:0.388430:0.609292:0.388430:0.592794:0.108240:0.592794:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.376697:0.609408:0.385675:0.609408:0.385675:0.592939:0.376697:0.592939:0.000000
Dom f:@0.108240:0.626758:0.153706:0.626758:0.153706:0.610289:0.108240:0.610289:0.000000:0.000000:0.000000:0.000000:0.000000
( ) =  , :@0.143457:0.626643:0.198944:0.626642:0.198944:0.610144:0.143457:0.610145:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.178742:0.625555:0.192047:0.625555:0.192047:0.612693:0.178742:0.612693:0.000000
Rec f:@0.198944:0.626758:0.233024:0.626758:0.233024:0.610289:0.198944:0.610289:0.000000:0.000000:0.000000:0.000000:0.000000
( ) = { ( ) |      } = ]0, ∞[.:@0.222775:0.626642:0.412730:0.626642:0.412730:0.610144:0.222775:0.610144:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f x x:@0.263926:0.626758:0.308371:0.626758:0.308371:0.610289:0.263926:0.610289:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.312508:0.626123:0.327161:0.626123:0.327161:0.612750:0.312508:0.612750:0.000000
:@0.331303:0.625555:0.344608:0.625555:0.344608:0.612693:0.331303:0.612693:0.000000
Ejercicios resueltos:@0.108242:0.661719:0.238897:0.661719:0.238897:0.644933:0.108242:0.644933:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1.:@0.108242:0.686039:0.120514:0.686039:0.120514:0.669325:0.108242:0.669325:0.000000:0.000000
  Considerar la función  :                          .  Tenemos :@0.120514:0.685823:0.483704:0.685823:0.483704:0.669325:0.120514:0.669325:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f:@0.288140:0.685939:0.292436:0.685939:0.292436:0.669470:0.288140:0.669470:0.000000
Dom f:@0.483704:0.685939:0.529170:0.685939:0.529170:0.669470:0.483704:0.669470:0.000000:0.000000:0.000000:0.000000:0.000000
( ) =  ,:@0.518921:0.685823:0.570265:0.685823:0.570265:0.669325:0.518921:0.669325:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.554207:0.684736:0.567512:0.684736:0.567512:0.671874:0.554207:0.671874:0.000000
 :@0.108227:0.715651:0.112369:0.715651:0.112369:0.699154:0.108227:0.699154:0.000000
Rec f:@0.131961:0.715767:0.166041:0.715767:0.166041:0.699298:0.131961:0.699298:0.000000:0.000000:0.000000:0.000000:0.000000
( ) = ]0, ∞[. El grafo de   es el conjunto  ( ) = {( , 2 ) |      }.:@0.155792:0.715651:0.586706:0.715648:0.586706:0.699150:0.155792:0.699154:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f:@0.316751:0.715767:0.321048:0.715767:0.321048:0.699298:0.316751:0.699298:0.000000
G f:@0.429047:0.715767:0.450739:0.715767:0.450739:0.699298:0.429047:0.699298:0.000000:0.000000:0.000000
x:@0.487594:0.715767:0.495069:0.715767:0.495069:0.699298:0.487594:0.699298:0.000000
x:@0.510473:0.709295:0.515134:0.709295:0.515134:0.699676:0.510473:0.699676:0.000000
x:@0.534380:0.715763:0.541855:0.715763:0.541855:0.699294:0.534380:0.699294:0.000000
:@0.545997:0.715129:0.560649:0.715129:0.560649:0.701756:0.545997:0.701756:0.000000
:@0.564791:0.714561:0.578096:0.714561:0.578096:0.701698:0.564791:0.701698:0.000000
 :@0.108234:0.750349:0.112376:0.750349:0.112376:0.733851:0.108234:0.733851:0.000000
Algunos valores de   se muestran en la tabla. Con dichos valores :@0.131970:0.750349:0.599884:0.750349:0.599884:0.733851:0.131970:0.733851:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f:@0.273434:0.750465:0.277730:0.750465:0.277730:0.733996:0.273434:0.733996:0.000000
obtenemos algunos puntos de  ( ).:@0.131970:0.767700:0.383400:0.767700:0.383400:0.751202:0.131970:0.751202:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
G f:@0.353000:0.767815:0.374692:0.767815:0.374692:0.751347:0.353000:0.751347:0.000000:0.000000:0.000000
 :@0.108234:0.802401:0.112376:0.802401:0.112376:0.785904:0.108234:0.785904:0.000000
f:@0.131970:0.802517:0.136266:0.802517:0.136266:0.786048:0.131970:0.786048:0.000000
(–3) = 2  =       = 0,125;   (0) = 2  = 1;   (3) = 2  = 8.:@0.136266:0.802401:0.495950:0.802401:0.495950:0.785904:0.136266:0.785904:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
–3:@0.194761:0.796048:0.205835:0.796048:0.205835:0.786430:0.194761:0.786430:0.000000:0.000000
f:@0.312508:0.802517:0.316804:0.802517:0.316804:0.786048:0.312508:0.786048:0.000000
0:@0.364789:0.796048:0.369742:0.796048:0.369742:0.786430:0.364789:0.786430:0.000000
f:@0.408370:0.802517:0.412666:0.802517:0.412666:0.786048:0.408370:0.786048:0.000000
3:@0.460653:0.796048:0.465606:0.796048:0.465606:0.786430:0.460653:0.786430:0.000000
 :@0.108236:0.819752:0.112378:0.819752:0.112378:0.803254:0.108236:0.803254:0.000000
 :@0.108236:0.901228:0.112378:0.901228:0.112378:0.884730:0.108236:0.884730:0.000000
Nota que si   > 1 suficientemente grande,  ( ) = 2  es tan grande:@0.131971:0.901228:0.592225:0.901225:0.592225:0.884728:0.131971:0.884730:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
n:@0.217969:0.901343:0.227332:0.901343:0.227332:0.884875:0.217969:0.884875:0.000000
f n:@0.433702:0.901343:0.453314:0.901343:0.453314:0.884875:0.433702:0.884875:0.000000:0.000000:0.000000
n:@0.486856:0.894940:0.492314:0.894940:0.492314:0.885338:0.486856:0.885338:0.000000
 :@0.108243:0.925704:0.112385:0.925704:0.112385:0.909207:0.108243:0.909207:0.000000
como se quiera, y  ( ) = 2  =      ,  se aproxima a cero como se :@0.131978:0.925704:0.574725:0.925704:0.574725:0.909206:0.131978:0.909207:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f n:@0.260246:0.925820:0.279858:0.925820:0.279858:0.909351:0.260246:0.909351:0.000000:0.000000:0.000000
–:@0.313393:0.919352:0.319514:0.919352:0.319514:0.909733:0.313393:0.909733:0.000000
n:@0.319514:0.919419:0.324973:0.919419:0.324973:0.909818:0.319514:0.909818:0.000000
quiera.:@0.131975:0.943055:0.179500:0.943055:0.179500:0.926557:0.131975:0.926557:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
m:@0.296495:0.418046:0.306144:0.418046:0.306144:0.407305:0.296495:0.407305:0.000000
→:@0.306144:0.417364:0.316892:0.417364:0.316892:0.407352:0.306144:0.407352:0.000000
∞:@0.316889:0.417970:0.325571:0.417970:0.325571:0.407211:0.316889:0.407211:0.000000
m:@0.387865:0.418046:0.397514:0.418046:0.397514:0.407305:0.387865:0.407305:0.000000
→:@0.397512:0.417364:0.408259:0.417364:0.408259:0.407352:0.397512:0.407352:0.000000
∞:@0.408257:0.417970:0.416939:0.417970:0.416939:0.407211:0.408257:0.407211:0.000000
:@0.311257:0.679119:0.324562:0.679119:0.324562:0.666256:0.311257:0.666256:0.000000
   :@0.324562:0.680205:0.348990:0.680205:0.348990:0.663708:0.324562:0.663708:0.000000:0.000000:0.000000
→:@0.328704:0.688304:0.344848:0.688304:0.344848:0.668442:0.328704:0.668442:0.000000
:@0.348988:0.679119:0.362293:0.679119:0.362293:0.666256:0.348988:0.666256:0.000000
+:@0.362293:0.672595:0.368594:0.672595:0.368594:0.662977:0.362293:0.662977:0.000000
x:@0.311257:0.697672:0.318732:0.697672:0.318732:0.681203:0.311257:0.681203:0.000000
    ( ) = 2:@0.318732:0.697556:0.394425:0.697556:0.394425:0.681059:0.318732:0.681059:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
→:@0.322874:0.705655:0.339018:0.705655:0.339018:0.685792:0.322874:0.685792:0.000000
f x:@0.343160:0.697672:0.360884:0.697672:0.360884:0.681203:0.343160:0.681203:0.000000:0.000000:0.000000
x:@0.394423:0.691271:0.398780:0.691271:0.398780:0.681669:0.394423:0.681669:0.000000
1:@0.231011:0.796541:0.239507:0.796541:0.239507:0.780043:0.231011:0.780043:0.000000
2:@0.228526:0.812880:0.237022:0.812880:0.237022:0.796382:0.228526:0.796382:0.000000
3:@0.237126:0.806534:0.242079:0.806534:0.242079:0.796916:0.237126:0.796916:0.000000
x:@0.160428:0.841735:0.167517:0.841735:0.167517:0.826408:0.160428:0.826408:0.000000
–3:@0.215855:0.841391:0.233198:0.841391:0.233198:0.826328:0.215855:0.826328:0.000000:0.000000
–2:@0.272846:0.841391:0.290190:0.841391:0.290190:0.826328:0.272846:0.826328:0.000000:0.000000
–1:@0.329838:0.841391:0.347182:0.841391:0.347182:0.826328:0.329838:0.826328:0.000000:0.000000
0:@0.391614:0.841391:0.399371:0.841391:0.399371:0.826328:0.391614:0.826328:0.000000
1:@0.448606:0.841391:0.456363:0.841391:0.456363:0.826328:0.448606:0.826328:0.000000
2:@0.505597:0.841391:0.513355:0.841391:0.513355:0.826328:0.505597:0.826328:0.000000
3:@0.562589:0.841391:0.570346:0.841391:0.570346:0.826328:0.562589:0.826328:0.000000
f(x):@0.137966:0.862725:0.160270:0.862725:0.160270:0.847398:0.137966:0.847398:0.000000:0.000000:0.000000:0.000000
 = 2:@0.160270:0.862580:0.185934:0.862580:0.185934:0.847319:0.160270:0.847319:0.000000:0.000000:0.000000:0.000000
x:@0.185889:0.856780:0.190022:0.856780:0.190022:0.847845:0.185889:0.847845:0.000000
 :@0.190022:0.862724:0.193962:0.862724:0.193962:0.847397:0.190022:0.847397:0.000000
0,125:@0.207752:0.862381:0.241297:0.862381:0.241297:0.847318:0.207752:0.847318:0.000000:0.000000:0.000000:0.000000:0.000000
0,25:@0.268614:0.862381:0.294401:0.862381:0.294401:0.847318:0.268614:0.847318:0.000000:0.000000:0.000000:0.000000
0,50:@0.325605:0.862381:0.351392:0.862381:0.351392:0.847318:0.325605:0.847318:0.000000:0.000000:0.000000:0.000000
1:@0.391603:0.862381:0.399360:0.862381:0.399360:0.847318:0.391603:0.847318:0.000000
2:@0.448595:0.862381:0.456352:0.862381:0.456352:0.847318:0.448595:0.847318:0.000000
4:@0.505587:0.862381:0.513344:0.862381:0.513344:0.847318:0.505587:0.847318:0.000000
8:@0.562578:0.862381:0.570335:0.862381:0.570335:0.847318:0.562578:0.847318:0.000000
1:@0.349452:0.919361:0.357948:0.919361:0.357948:0.902863:0.349452:0.902863:0.000000
2:@0.346717:0.935699:0.355213:0.935699:0.355213:0.919202:0.346717:0.919202:0.000000
n:@0.355314:0.929421:0.360773:0.929421:0.360773:0.919820:0.355314:0.919820:0.000000
Recuerda que…:@0.684804:0.114083:0.794564:0.114083:0.794564:0.098611:0.684804:0.098611:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
En la Figura 4.1., se repre-:@0.685042:0.142711:0.845093:0.142711:0.845093:0.127647:0.685042:0.127647:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
senta la gráfica de   cuando:@0.638498:0.158553:0.818286:0.158553:0.818286:0.143489:0.638498:0.143489:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.758128:0.158658:0.765146:0.158658:0.765146:0.143621:0.758128:0.143621:0.000000
0 <   < 1.:@0.712025:0.174395:0.773115:0.174395:0.773115:0.159331:0.712025:0.159331:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.737214:0.174500:0.745410:0.174500:0.745410:0.159463:0.737214:0.159463:0.000000
En la Figura 4.2., se representa la :@0.638498:0.387469:0.846516:0.387469:0.846516:0.372406:0.638498:0.372406:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
gráfica de  ,     > 1.:@0.638498:0.403311:0.761926:0.403311:0.761926:0.388248:0.638498:0.388248:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y a:@0.705145:0.403417:0.734221:0.403417:0.734221:0.388380:0.705145:0.388380:0.000000:0.000000:0.000000
 :@0.638498:0.609257:0.642280:0.609257:0.642280:0.594194:0.638498:0.594194:0.000000
A la función exponencial de :@0.638498:0.625099:0.823930:0.625099:0.823930:0.610036:0.638498:0.610036:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
base   se le denota también :@0.638498:0.640941:0.824419:0.640941:0.824419:0.625878:0.638498:0.625878:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.671654:0.641047:0.679851:0.641047:0.679851:0.626010:0.671654:0.626010:0.000000
Exp , esto es,:@0.638498:0.656783:0.720449:0.656782:0.720449:0.641719:0.638498:0.641720:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.662602:0.659837:0.667380:0.659837:0.667380:0.651070:0.662602:0.651070:0.000000
Exp : :@0.638498:0.688466:0.673678:0.688466:0.673678:0.673403:0.638498:0.673403:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.662602:0.691521:0.667380:0.691521:0.667380:0.682754:0.662602:0.682754:0.000000
Las propiedades que hemos :@0.638498:0.723714:0.823753:0.723714:0.823753:0.708651:0.638498:0.708651:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
precisado para la función:@0.638498:0.739556:0.801801:0.739556:0.801801:0.724493:0.638498:0.724493:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
v r:@0.638498:0.755504:0.656546:0.755504:0.656546:0.740467:0.638498:0.740467:0.000000:0.000000:0.000000
( ) =  ,        se verifican :@0.645605:0.755398:0.821210:0.755398:0.821210:0.740335:0.645605:0.740335:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a r:@0.679413:0.755504:0.706267:0.755504:0.706267:0.740467:0.679413:0.740467:0.000000:0.000000:0.000000
r:@0.687474:0.749659:0.690684:0.749659:0.690684:0.740893:0.687474:0.740893:0.000000
:@0.710050:0.755049:0.724004:0.755049:0.724004:0.742313:0.710050:0.742313:0.000000
Q:@0.727785:0.754396:0.741740:0.754396:0.741740:0.742703:0.727785:0.742703:0.000000
para la función  ( ) =  ,       .:@0.638504:0.771240:0.845338:0.771240:0.845338:0.756177:0.638504:0.756177:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f x:@0.739205:0.771346:0.755388:0.771346:0.755388:0.756309:0.739205:0.756309:0.000000:0.000000:0.000000
a x:@0.778255:0.771346:0.807350:0.771346:0.807350:0.756309:0.778255:0.756309:0.000000:0.000000:0.000000
x:@0.786467:0.765501:0.790446:0.765501:0.790446:0.756735:0.786467:0.756735:0.000000
:@0.811132:0.770891:0.825087:0.770891:0.825087:0.758155:0.811132:0.758155:0.000000
Q:@0.828868:0.770238:0.842822:0.770238:0.842822:0.758545:0.828868:0.758545:0.000000
:@0.685581:0.682066:0.697728:0.682066:0.697728:0.670323:0.685581:0.670323:0.000000
   :@0.697728:0.683058:0.720031:0.683058:0.720031:0.667996:0.697728:0.667996:0.000000:0.000000:0.000000
→:@0.701510:0.690452:0.716250:0.690452:0.716250:0.672318:0.701510:0.672318:0.000000
:@0.720029:0.682066:0.732176:0.682066:0.732176:0.670323:0.720029:0.670323:0.000000
+:@0.732176:0.676111:0.737929:0.676111:0.737929:0.667330:0.732176:0.667330:0.000000
x:@0.685581:0.699006:0.692406:0.699006:0.692406:0.683970:0.685581:0.683970:0.000000
   exp ( ) =  .:@0.692406:0.698900:0.792799:0.698900:0.792799:0.683838:0.692406:0.683838:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
→:@0.696187:0.706294:0.710927:0.706294:0.710927:0.688160:0.696187:0.688160:0.000000
a:@0.738189:0.701954:0.742967:0.701954:0.742967:0.693188:0.738189:0.693188:0.000000
x:@0.748401:0.699006:0.755226:0.699006:0.755226:0.683970:0.748401:0.683970:0.000000
a:@0.778092:0.699006:0.786288:0.699006:0.786288:0.683970:0.778092:0.683970:0.000000
x:@0.786305:0.693161:0.790283:0.693161:0.790283:0.684395:0.786305:0.684395:0.000000
p:@0.638503:0.356618:0.649984:0.356618:0.649984:0.346594:0.638503:0.346594:0.000000
 :@0.649984:0.357326:0.652865:0.357326:0.652865:0.345850:0.649984:0.345850:0.000000
Figura 4.1.:@0.652865:0.357326:0.701434:0.357326:0.701434:0.345850:0.652865:0.345850:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p:@0.638503:0.594633:0.649984:0.594633:0.649984:0.584608:0.638503:0.584608:0.000000
 :@0.649984:0.595341:0.652865:0.595341:0.652865:0.583864:0.649984:0.583864:0.000000
Figura 4.2.:@0.652865:0.595341:0.701434:0.595341:0.701434:0.583864:0.652865:0.583864:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0:@0.696782:0.320983:0.702692:0.320983:0.702692:0.309506:0.696782:0.309506:0.000000
1:@0.696782:0.291471:0.702692:0.291471:0.702692:0.279995:0.696782:0.279995:0.000000
x:@0.833213:0.322471:0.838413:0.322471:0.838413:0.311015:0.833213:0.311015:0.000000
y:@0.695080:0.204516:0.700427:0.204516:0.700427:0.193060:0.695080:0.193060:0.000000
0 <   < 1:@0.682373:0.338263:0.732580:0.338263:0.732580:0.325352:0.682373:0.325352:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.703963:0.338354:0.710989:0.338354:0.710989:0.325465:0.703963:0.325465:0.000000
y a:@0.740314:0.288067:0.768298:0.288067:0.768298:0.275178:0.740314:0.275178:0.000000:0.000000:0.000000
 = :@0.746330:0.287976:0.761272:0.287976:0.761272:0.275065:0.746330:0.275065:0.000000:0.000000:0.000000
x:@0.768311:0.283052:0.771721:0.283052:0.771721:0.275538:0.768311:0.275538:0.000000
0:@0.750389:0.557355:0.756300:0.557355:0.756300:0.545879:0.750389:0.545879:0.000000
1:@0.750081:0.518107:0.755991:0.518107:0.755991:0.506631:0.750081:0.506631:0.000000
x:@0.833213:0.558834:0.838413:0.558834:0.838413:0.547377:0.833213:0.547377:0.000000
y:@0.748687:0.428306:0.754035:0.428306:0.754035:0.416849:0.748687:0.416849:0.000000
a:@0.746776:0.574726:0.753802:0.574726:0.753802:0.561838:0.746776:0.561838:0.000000
 > 1:@0.753802:0.574636:0.775392:0.574636:0.775392:0.561724:0.753802:0.561724:0.000000:0.000000:0.000000:0.000000
y a:@0.794510:0.508167:0.822493:0.508167:0.822493:0.495279:0.794510:0.495279:0.000000:0.000000:0.000000
 = :@0.800526:0.508077:0.815467:0.508077:0.815467:0.495165:0.800526:0.495165:0.000000:0.000000:0.000000
x:@0.822508:0.503154:0.825919:0.503154:0.825919:0.495640:0.822508:0.495640:0.000000
 ©:@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