59:@0.922460:0.966765:0.939432:0.966765:0.939432:0.950778:0.922460:0.950778:0.000000:0.000000
h:@0.205640:0.126068:0.215041:0.126068:0.215041:0.109599:0.205640:0.109599:0.000000
x =:@0.328552:0.126068:0.350360:0.126068:0.350360:0.109599:0.328552:0.109599:0.000000:0.000000:0.000000
 0,3 +:@0.350014:0.125952:0.387119:0.125952:0.387119:0.109454:0.350014:0.109454:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 h:@0.386772:0.126068:0.399969:0.126068:0.399969:0.109599:0.386772:0.109599:0.000000:0.000000
d(:@0.472888:0.126068:0.487144:0.126068:0.487144:0.109599:0.472888:0.109599:0.000000:0.000000
0,3; 0,3 +  ):@0.486797:0.125952:0.563473:0.125952:0.563473:0.109454:0.486797:0.109454:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
h:@0.548465:0.126068:0.557867:0.126068:0.557867:0.109599:0.548465:0.109599:0.000000
–0,2:@0.161888:0.145790:0.192135:0.145790:0.192135:0.129292:0.161888:0.129292:0.000000:0.000000:0.000000:0.000000
0,1:@0.322927:0.145790:0.342674:0.145790:0.342674:0.129292:0.322927:0.129292:0.000000:0.000000:0.000000
0,2:@0.476837:0.145790:0.496584:0.145790:0.496584:0.129292:0.476837:0.129292:0.000000:0.000000:0.000000
–0,05:@0.161888:0.165627:0.200631:0.165627:0.200631:0.149130:0.161888:0.149130:0.000000:0.000000:0.000000:0.000000:0.000000
0,25:@0.322927:0.165627:0.351170:0.165627:0.351170:0.149130:0.322927:0.149130:0.000000:0.000000:0.000000:0.000000
0,05:@0.476837:0.165627:0.505080:0.165627:0.505080:0.149130:0.476837:0.149130:0.000000:0.000000:0.000000:0.000000
–0,001:@0.161888:0.185465:0.209127:0.185465:0.209127:0.168967:0.161888:0.168967:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0,299:@0.322927:0.185465:0.359666:0.185465:0.359666:0.168967:0.322927:0.168967:0.000000:0.000000:0.000000:0.000000:0.000000
0,001:@0.476837:0.185465:0.513576:0.185465:0.513576:0.168967:0.476837:0.168967:0.000000:0.000000:0.000000:0.000000:0.000000
–0,000 025:@0.161888:0.205303:0.238757:0.205303:0.238757:0.188805:0.161888:0.188805:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0,299 995:@0.322927:0.205303:0.389296:0.205303:0.389296:0.188805:0.322927:0.188805:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0,000 025:@0.476837:0.205303:0.543206:0.205303:0.543206:0.188805:0.476837:0.188805:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Tabla 2:@0.132965:0.104200:0.187582:0.104200:0.187582:0.086759:0.132965:0.086759:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0:@0.653808:0.455719:0.659719:0.455719:0.659719:0.444242:0.653808:0.444242:0.000000
0,1 0,2 0,3 0,4:@0.690999:0.430060:0.764682:0.430060:0.764682:0.418583:0.690999:0.418583:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0,5:@0.771611:0.457147:0.785348:0.457147:0.785348:0.445670:0.771611:0.445670:0.000000:0.000000:0.000000
x:@0.830379:0.455799:0.835579:0.455799:0.835579:0.444343:0.830379:0.444343:0.000000
p:@0.629006:0.491165:0.640487:0.491165:0.640487:0.481140:0.629006:0.481140:0.000000
 :@0.640487:0.491872:0.643368:0.491872:0.643368:0.480396:0.640487:0.480396:0.000000
Figura 2.2.:@0.643368:0.491872:0.691937:0.491872:0.691937:0.480396:0.643368:0.480396:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.108231:0.234066:0.112373:0.234066:0.112373:0.217568:0.108231:0.217568:0.000000
Los resultados de la Tabla 2 muestran que para  < 0 que se apro-:@0.131966:0.234066:0.595779:0.234066:0.595779:0.217568:0.131966:0.217568:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
h :@0.467041:0.234182:0.480584:0.234182:0.480584:0.217713:0.467041:0.217713:0.000000:0.000000
xima a cero,   = 0,3 +   se aproxima cada vez a 0,3. Escribimos:@0.131966:0.251417:0.568686:0.251417:0.568686:0.234919:0.131966:0.234919:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.219758:0.251532:0.227233:0.251532:0.227233:0.235064:0.219758:0.235064:0.000000
h:@0.285163:0.251532:0.294565:0.251532:0.294565:0.235064:0.285163:0.235064:0.000000
 :@0.108231:0.268768:0.112373:0.268768:0.112373:0.252270:0.108231:0.252270:0.000000
0,3 +     0,3:@0.318010:0.268768:0.409726:0.268768:0.409726:0.252270:0.318010:0.252270:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
h:@0.356849:0.268883:0.366250:0.268883:0.366250:0.252414:0.356849:0.252414:0.000000
→:@0.370396:0.276354:0.385839:0.276354:0.385839:0.257355:0.370396:0.257355:0.000000
   para indicar que  < 0 y que para   > 0,  (0,3 0,3 +  ) = –  <  .:@0.108225:0.303469:0.578750:0.303469:0.578750:0.286971:0.108225:0.286971:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
h :@0.251248:0.303585:0.264791:0.303585:0.264791:0.287116:0.251248:0.287116:0.000000:0.000000
δ:@0.370879:0.311056:0.380553:0.311056:0.380553:0.292056:0.370879:0.292056:0.000000
d:@0.415036:0.303585:0.424207:0.303585:0.424207:0.287116:0.415036:0.287116:0.000000
h:@0.492887:0.303585:0.502289:0.303585:0.502289:0.287116:0.492887:0.287116:0.000000
h:@0.537833:0.303585:0.547235:0.303585:0.547235:0.287116:0.537833:0.287116:0.000000
δ:@0.566322:0.311056:0.575997:0.311056:0.575997:0.292056:0.566322:0.292056:0.000000
 :@0.108235:0.338171:0.112377:0.338171:0.112377:0.321673:0.108235:0.321673:0.000000
Esto es lo mismo que la escritura     0,3 , y, a su vez, lo mismo que :@0.131970:0.338171:0.599857:0.338171:0.599857:0.321673:0.131970:0.321673:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
h:@0.362399:0.338286:0.371801:0.338286:0.371801:0.321818:0.362399:0.321818:0.000000
→:@0.375234:0.345757:0.390677:0.345757:0.390677:0.326758:0.375234:0.326758:0.000000
–:@0.413800:0.331819:0.419921:0.331819:0.419921:0.322201:0.413800:0.322201:0.000000
 :@0.108228:0.355521:0.112370:0.355521:0.112370:0.339024:0.108228:0.339024:0.000000
lím:@0.131963:0.355637:0.154156:0.355637:0.154156:0.339168:0.131963:0.339168:0.000000:0.000000:0.000000
(0,3 +  ) = 0,3; que se lee: “:@0.154156:0.355521:0.342665:0.355521:0.342665:0.339024:0.154156:0.339024:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
h:@0.198948:0.355637:0.208350:0.355637:0.208350:0.339168:0.198948:0.339168:0.000000
límite:@0.342665:0.355637:0.381485:0.355637:0.381485:0.339168:0.342665:0.339168:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 de 0,3 +   cuando :@0.381486:0.355521:0.518212:0.355521:0.518212:0.339024:0.381486:0.339024:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
h:@0.446468:0.355637:0.455870:0.355637:0.455870:0.339168:0.446468:0.339168:0.000000
h:@0.518212:0.355637:0.527613:0.355637:0.527613:0.339168:0.518212:0.339168:0.000000
 :@0.108228:0.380001:0.112370:0.380001:0.112370:0.363503:0.108228:0.363503:0.000000
tiende a cero por la izquierda igual a 0,3”. :@0.131963:0.380001:0.421941:0.380001:0.421941:0.363503:0.131963:0.363503:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.108228:0.414703:0.112370:0.414703:0.112370:0.398205:0.108228:0.398205:0.000000
En la Figura 2.2. dibujamos una flecha para indicar que los valores :@0.131963:0.414703:0.599972:0.414703:0.599972:0.398205:0.131963:0.398205:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de   son menores que 0,3 y que   se aproxima a 0,3 por el lado :@0.131963:0.432053:0.599818:0.432053:0.599818:0.415556:0.131963:0.415556:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.155486:0.432169:0.162961:0.432169:0.162961:0.415700:0.155486:0.415700:0.000000
x:@0.371777:0.432169:0.379252:0.432169:0.379252:0.415700:0.371777:0.415700:0.000000
izquierdo. :@0.131963:0.449404:0.204745:0.449404:0.204745:0.432906:0.131963:0.432906:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.108228:0.484106:0.112370:0.484106:0.112370:0.467608:0.108228:0.467608:0.000000
Si imaginamos que los puntos de la recta real asociados a cada   se :@0.131963:0.484106:0.599958:0.484106:0.599958:0.467608:0.131963:0.467608:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.570319:0.484221:0.577794:0.484221:0.577794:0.467752:0.570319:0.467752:0.000000
mueven de la izquierda hacia  , la distancia  ( ,  ) será cada vez :@0.131963:0.501456:0.599895:0.501455:0.599895:0.484957:0.131963:0.484959:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.344611:0.501572:0.352086:0.501572:0.352086:0.485103:0.344611:0.485103:0.000000
0:@0.352114:0.504733:0.357068:0.504733:0.357068:0.495115:0.352114:0.495115:0.000000
d x x:@0.448249:0.501571:0.490759:0.501571:0.490759:0.485102:0.448249:0.485102:0.000000:0.000000:0.000000:0.000000:0.000000
0:@0.470857:0.504733:0.475810:0.504733:0.475810:0.495115:0.470857:0.495115:0.000000
más pequeña o próxima a cero.:@0.131963:0.518806:0.353550:0.518806:0.353550:0.502308:0.131963:0.502308:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Sea  < 0 y   =  . Entonces,   <  , y  ( , :@0.131963:0.553507:0.423669:0.553507:0.423669:0.537010:0.131963:0.537010:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
h:@0.160225:0.553623:0.169626:0.553623:0.169626:0.537154:0.160225:0.537154:0.000000
x x:@0.213320:0.553623:0.247362:0.553623:0.247362:0.537154:0.213320:0.537154:0.000000:0.000000:0.000000
0:@0.247372:0.556785:0.252325:0.556785:0.252325:0.547167:0.247372:0.547167:0.000000
x x:@0.331369:0.553623:0.365411:0.553623:0.365411:0.537154:0.331369:0.537154:0.000000:0.000000:0.000000
0:@0.365409:0.556785:0.370362:0.556785:0.370362:0.547167:0.365409:0.547167:0.000000
d x x + h:@0.389222:0.553623:0.459714:0.553623:0.459714:0.537154:0.389222:0.537154:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0:@0.411820:0.556785:0.416773:0.556785:0.416773:0.547167:0.411820:0.547167:0.000000
) =   – (:@0.459714:0.553507:0.521922:0.553507:0.521922:0.537010:0.459714:0.537010:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.484759:0.553623:0.492234:0.553623:0.492234:0.537154:0.484759:0.537154:0.000000
0:@0.492233:0.556785:0.497186:0.556785:0.497186:0.547167:0.492233:0.547167:0.000000
x  + h:@0.521922:0.553623:0.562921:0.553623:0.562921:0.537154:0.521922:0.537154:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0:@0.529397:0.556785:0.534350:0.556785:0.534350:0.547167:0.529397:0.547167:0.000000
) = :@0.562921:0.553507:0.587966:0.553507:0.587966:0.537010:0.562921:0.537010:0.000000:0.000000:0.000000:0.000000
x:@0.131976:0.570974:0.139451:0.570974:0.139451:0.554505:0.131976:0.554505:0.000000
0:@0.139449:0.574136:0.144403:0.574136:0.144403:0.564518:0.139449:0.564518:0.000000
 – :@0.144401:0.570858:0.163185:0.570858:0.163185:0.554360:0.144401:0.554360:0.000000:0.000000:0.000000
x  + h:@0.163185:0.570974:0.204183:0.570974:0.204183:0.554505:0.163185:0.554505:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0:@0.170661:0.574136:0.175614:0.574136:0.175614:0.564518:0.170661:0.564518:0.000000
 = –  > 0. Para  valores de   < 0  cada vez más próxi-:@0.204183:0.570858:0.576925:0.570858:0.576925:0.554360:0.204183:0.554360:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
h:@0.233775:0.570974:0.243176:0.570974:0.243176:0.554505:0.233775:0.554505:0.000000
h:@0.391596:0.570974:0.400997:0.570974:0.400997:0.554505:0.391596:0.554505:0.000000
mos a cero,   :@0.131977:0.588209:0.232713:0.588209:0.232713:0.571711:0.131977:0.571711:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x + h:@0.216147:0.588324:0.257141:0.588324:0.257141:0.571856:0.216147:0.571856:0.000000:0.000000:0.000000:0.000000:0.000000
0:@0.223619:0.591487:0.228572:0.591487:0.228572:0.581869:0.223619:0.581869:0.000000
 es cada vez más próximo a  . Escribimos :@0.257141:0.588209:0.555152:0.588209:0.555152:0.571711:0.257141:0.571711:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.454897:0.588324:0.462372:0.588324:0.462372:0.571856:0.454897:0.571856:0.000000
0:@0.462370:0.591487:0.467324:0.591487:0.467324:0.581869:0.462370:0.581869:0.000000
x  + h :@0.131974:0.605675:0.177114:0.605675:0.177114:0.589206:0.131974:0.589206:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0:@0.139449:0.608837:0.144403:0.608837:0.144403:0.599219:0.139449:0.599219:0.000000
→:@0.177114:0.613146:0.192556:0.613146:0.192556:0.594147:0.177114:0.594147:0.000000
  que se lee::@0.192555:0.605560:0.286087:0.605560:0.286087:0.589062:0.192555:0.589062:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x  :@0.196697:0.605675:0.213266:0.605675:0.213266:0.589206:0.196697:0.589206:0.000000:0.000000:0.000000
0:@0.204171:0.608837:0.209124:0.608837:0.209124:0.599219:0.204171:0.599219:0.000000
“:@0.131966:0.640261:0.137630:0.640261:0.137630:0.623763:0.131966:0.623763:0.000000
x  + h:@0.137630:0.640377:0.178636:0.640377:0.178636:0.623908:0.137630:0.623908:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0:@0.145113:0.643539:0.150067:0.643539:0.150067:0.633921:0.145113:0.633921:0.000000
 tiende a   cuando   tiende a cero por la izquierda”.:@0.178636:0.640261:0.544753:0.640261:0.544753:0.623763:0.178636:0.623763:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.244251:0.640377:0.251726:0.640377:0.251726:0.623908:0.244251:0.623908:0.000000
0:@0.251727:0.643539:0.256681:0.643539:0.256681:0.633921:0.251727:0.633921:0.000000
h:@0.319022:0.640377:0.328423:0.640377:0.328423:0.623908:0.319022:0.623908:0.000000
Representación gráfica de una función racional :@0.108231:0.676360:0.480134:0.676360:0.480134:0.658677:0.108231:0.658677:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y sus asíntotas:@0.108231:0.694465:0.220944:0.694465:0.220944:0.676782:0.108231:0.676782:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejercicios resueltos:@0.108231:0.711549:0.238886:0.711549:0.238886:0.694762:0.108231:0.694762:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1. :@0.108231:0.728740:0.124587:0.728740:0.124587:0.712026:0.108231:0.712026:0.000000:0.000000:0.000000
  Sean  ,   los polinomios reales definidos como  ( ) = 3,  :@0.124587:0.728524:0.535240:0.728524:0.535240:0.712026:0.124587:0.712026:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p q:@0.169765:0.728639:0.195098:0.728639:0.195098:0.712170:0.169765:0.712170:0.000000:0.000000:0.000000
p x:@0.467966:0.728639:0.490660:0.728639:0.490660:0.712170:0.467966:0.712170:0.000000:0.000000:0.000000
 :@0.511563:0.728639:0.515705:0.728639:0.515705:0.712170:0.511563:0.712170:0.000000
 x :@0.535240:0.728639:0.550999:0.728639:0.550999:0.712170:0.535240:0.712170:0.000000:0.000000:0.000000
:@0.550999:0.728307:0.567047:0.728307:0.567047:0.713660:0.550999:0.713660:0.000000
 :@0.567053:0.728005:0.571450:0.728005:0.571450:0.714632:0.567053:0.714632:0.000000
:@0.571450:0.727437:0.584755:0.727437:0.584755:0.714574:0.571450:0.714574:0.000000
,:@0.584755:0.728524:0.587510:0.728524:0.587510:0.712026:0.584755:0.712026:0.000000
 :@0.108228:0.745874:0.112370:0.745874:0.112370:0.729377:0.108228:0.729377:0.000000
q x:@0.131963:0.745990:0.154561:0.745990:0.154561:0.729521:0.131963:0.729521:0.000000:0.000000:0.000000
( ) =:@0.141133:0.745874:0.175464:0.745874:0.175464:0.729377:0.141133:0.729377:0.000000:0.000000:0.000000:0.000000:0.000000
 x +     x :@0.175464:0.745990:0.241544:0.745990:0.241544:0.729521:0.175464:0.729521:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2,:@0.206250:0.745874:0.217501:0.745874:0.217501:0.729377:0.206250:0.729377:0.000000:0.000000
:@0.241544:0.745657:0.257592:0.745657:0.257592:0.731011:0.241544:0.731011:0.000000
 :@0.257601:0.745356:0.261998:0.745356:0.261998:0.731982:0.257601:0.731982:0.000000
:@0.261998:0.744787:0.275303:0.744787:0.275303:0.731925:0.261998:0.731925:0.000000
. La función racional   está definida como::@0.275303:0.745874:0.569761:0.745874:0.569761:0.729377:0.275303:0.729377:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f:@0.421928:0.745990:0.426353:0.745990:0.426353:0.729521:0.421928:0.729521:0.000000
f x:@0.131961:0.772247:0.149685:0.772247:0.149685:0.755779:0.131961:0.755779:0.000000:0.000000:0.000000
( ) =          =            ,    ≠ –2:@0.136257:0.772132:0.329122:0.772132:0.329122:0.755634:0.136257:0.755634:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x   .:@0.283559:0.772247:0.331973:0.772247:0.331973:0.755779:0.283559:0.755779:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.108226:0.806833:0.112368:0.806833:0.112368:0.790336:0.108226:0.790336:0.000000
Se tiene :@0.131961:0.806833:0.192146:0.806833:0.192146:0.790336:0.131961:0.790336:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Dom(f) = :@0.192146:0.806949:0.263408:0.806949:0.263408:0.790480:0.192146:0.790480:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.263419:0.805750:0.276724:0.805750:0.276724:0.792888:0.263419:0.792888:0.000000
 :@0.276724:0.805868:0.281540:0.805868:0.281540:0.792421:0.276724:0.792421:0.000000
\:@0.282433:0.806953:0.288251:0.806953:0.284382:0.790484:0.278564:0.790484:0.000000
 :@0.287358:0.806953:0.291500:0.806953:0.291500:0.790484:0.287358:0.790484:0.000000
{–2}. Una :@0.291500:0.806837:0.363013:0.806837:0.363013:0.790339:0.291500:0.790339:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
asíntota vertical:@0.363013:0.807300:0.487809:0.807300:0.487809:0.790354:0.363013:0.790354:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 es la recta   :@0.487809:0.806837:0.579993:0.806837:0.579993:0.790339:0.487809:0.790339:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
R:@0.566277:0.806953:0.575851:0.806953:0.575851:0.790484:0.566277:0.790484:0.000000
definida como :@0.131984:0.824188:0.240079:0.824188:0.240079:0.807690:0.131984:0.807690:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.240069:0.823101:0.253374:0.823101:0.253374:0.810239:0.240069:0.810239:0.000000
 :@0.253374:0.823219:0.258190:0.823219:0.258190:0.809772:0.253374:0.809772:0.000000
= :@0.258190:0.824304:0.273217:0.824304:0.273217:0.807835:0.258190:0.807835:0.000000:0.000000
{(–2,  ) | :@0.273217:0.824188:0.337852:0.824188:0.337852:0.807690:0.273217:0.807690:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y y :@0.310919:0.824304:0.349681:0.824304:0.349681:0.807835:0.310919:0.807835:0.000000:0.000000:0.000000:0.000000
:@0.349681:0.823971:0.365729:0.823971:0.365729:0.809324:0.349681:0.809324:0.000000
 :@0.365727:0.823669:0.370125:0.823669:0.370125:0.810296:0.365727:0.810296:0.000000
:@0.370125:0.823101:0.383430:0.823101:0.383430:0.810239:0.370125:0.810239:0.000000
}o como x = –2.:@0.383430:0.824188:0.497730:0.824188:0.497730:0.807690:0.383430:0.807690:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.108225:0.858889:0.112367:0.858889:0.112367:0.842392:0.108225:0.842392:0.000000
Por otro lado, si | |   ∞, también | | + 2   ∞ con lo que::@0.131959:0.858889:0.536787:0.858889:0.536787:0.842392:0.131959:0.842392:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.251500:0.859005:0.258975:0.859005:0.258975:0.842536:0.251500:0.842536:0.000000
→:@0.268140:0.866476:0.283582:0.866476:0.283582:0.847477:0.268140:0.847477:0.000000
x:@0.377092:0.859005:0.384567:0.859005:0.384567:0.842536:0.377092:0.842536:0.000000
→:@0.421305:0.866476:0.436748:0.866476:0.436748:0.847477:0.421305:0.847477:0.000000
 :@0.131968:0.893591:0.136110:0.893591:0.136110:0.877093:0.131968:0.877093:0.000000
f x:@0.155703:0.893707:0.173427:0.893707:0.173427:0.877238:0.155703:0.877238:0.000000:0.000000:0.000000
( ) =              0 cuando     ∞,:@0.159999:0.893591:0.383275:0.893591:0.383275:0.877093:0.159999:0.877093:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
→:@0.245589:0.901177:0.261032:0.901177:0.261032:0.882178:0.245589:0.882178:0.000000
x:@0.336009:0.893707:0.343484:0.893707:0.343484:0.877238:0.336009:0.877238:0.000000
→:@0.347625:0.901177:0.363067:0.901177:0.363067:0.882178:0.347625:0.882178:0.000000
 :@0.131978:0.928292:0.136120:0.928292:0.136120:0.911795:0.131978:0.911795:0.000000
f x:@0.155713:0.928408:0.173437:0.928408:0.173437:0.911939:0.155713:0.911939:0.000000:0.000000:0.000000
( ) =              0 cuando     –∞.:@0.160009:0.928292:0.393774:0.928293:0.393774:0.911795:0.160009:0.911795:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
→:@0.245589:0.935879:0.261032:0.935879:0.261032:0.916880:0.245589:0.916880:0.000000
x:@0.336009:0.928408:0.343484:0.928408:0.343484:0.911940:0.336009:0.911940:0.000000
→:@0.347625:0.935879:0.363067:0.935879:0.363067:0.916880:0.347625:0.916880:0.000000
h:@0.366086:0.276717:0.372626:0.276717:0.372626:0.265260:0.366086:0.265260:0.000000
   0:@0.372626:0.276636:0.394124:0.276636:0.394124:0.265160:0.372626:0.265160:0.000000:0.000000:0.000000:0.000000
→:@0.375507:0.281246:0.385334:0.281246:0.385334:0.269155:0.375507:0.269155:0.000000
–:@0.394124:0.272217:0.398383:0.272217:0.398383:0.265527:0.394124:0.265527:0.000000
h:@0.132965:0.364826:0.139505:0.364826:0.139505:0.353369:0.132965:0.353369:0.000000
   0:@0.139505:0.364746:0.161003:0.364746:0.161003:0.353269:0.139505:0.353269:0.000000:0.000000:0.000000:0.000000
→:@0.142384:0.369355:0.152211:0.369355:0.152211:0.357264:0.142384:0.357264:0.000000
–:@0.161003:0.360326:0.165261:0.360326:0.165261:0.353636:0.161003:0.353636:0.000000
h:@0.167274:0.615153:0.173814:0.615153:0.173814:0.603697:0.167274:0.603697:0.000000
   0:@0.173814:0.615073:0.195312:0.615073:0.195312:0.603596:0.173814:0.603596:0.000000:0.000000:0.000000:0.000000
→:@0.176695:0.619682:0.186522:0.619682:0.186522:0.607592:0.176695:0.607592:0.000000
–:@0.195312:0.610654:0.199570:0.610654:0.199570:0.603963:0.195312:0.603963:0.000000
p x:@0.176755:0.764741:0.199450:0.764741:0.199450:0.748273:0.176755:0.748273:0.000000:0.000000:0.000000
( ):@0.186022:0.764626:0.205403:0.764626:0.205403:0.748128:0.186022:0.748128:0.000000:0.000000:0.000000
q x:@0.176813:0.781080:0.199411:0.781080:0.199411:0.764611:0.176813:0.764611:0.000000:0.000000:0.000000
( ):@0.185983:0.780964:0.205364:0.780964:0.205364:0.764467:0.185983:0.764467:0.000000:0.000000:0.000000
3:@0.244693:0.764626:0.253189:0.764626:0.253189:0.748128:0.244693:0.748128:0.000000
x :@0.231419:0.781080:0.243036:0.781080:0.243036:0.764611:0.231419:0.764611:0.000000:0.000000
+ 2:@0.243036:0.780964:0.266482:0.780964:0.266482:0.764467:0.243036:0.764467:0.000000:0.000000:0.000000
3:@0.214788:0.886136:0.223284:0.886136:0.223284:0.869639:0.214788:0.869639:0.000000
x :@0.201515:0.902591:0.213132:0.902591:0.213132:0.886122:0.201515:0.886122:0.000000:0.000000
+ 2:@0.213132:0.902475:0.236577:0.902475:0.236577:0.885977:0.213132:0.885977:0.000000:0.000000:0.000000
3:@0.214788:0.920796:0.223284:0.920796:0.223284:0.904299:0.214788:0.904299:0.000000
x :@0.201515:0.937250:0.213132:0.937250:0.213132:0.920782:0.201515:0.920782:0.000000:0.000000
+ 2:@0.213132:0.937135:0.236577:0.937135:0.236577:0.920637:0.213132:0.920637:0.000000:0.000000:0.000000
Competencia :@0.684804:0.104916:0.782426:0.104916:0.782426:0.089444:0.684804:0.089444:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
comunicacional:@0.684804:0.117484:0.796762:0.117484:0.796762:0.102012:0.684804:0.102012:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
De manera general, sea :@0.678232:0.141957:0.830841:0.141957:0.830841:0.126894:0.678232:0.126894:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.638496:0.157905:0.645321:0.157905:0.645321:0.142868:0.638496:0.142868:0.000000
0:@0.645328:0.160792:0.649851:0.160792:0.649851:0.152011:0.645328:0.152011:0.000000
 :@0.649851:0.157799:0.653633:0.157799:0.653633:0.142736:0.649851:0.142736:0.000000
:@0.653632:0.157451:0.667587:0.157451:0.667587:0.144714:0.653632:0.144714:0.000000
 :@0.667587:0.157601:0.671985:0.157601:0.671985:0.144228:0.667587:0.144228:0.000000
:@0.671985:0.156797:0.684080:0.156797:0.684080:0.145104:0.671985:0.145104:0.000000
. Diremos que  tiende :@0.684080:0.157799:0.833468:0.157799:0.833468:0.142736:0.684080:0.142736:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x :@0.777675:0.157905:0.788281:0.157905:0.788281:0.142868:0.777675:0.142868:0.000000:0.000000
a   por el lado izquierdo, que :@0.638504:0.173641:0.832907:0.173641:0.832907:0.158578:0.638504:0.158578:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.649445:0.173747:0.656270:0.173747:0.656270:0.158710:0.649445:0.158710:0.000000
0:@0.656269:0.176634:0.660792:0.176634:0.660792:0.167853:0.656269:0.167853:0.000000
se escribe       si y solo si se :@0.638504:0.189483:0.836742:0.189483:0.836742:0.174420:0.638504:0.174420:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.704940:0.189589:0.711765:0.189589:0.711765:0.174552:0.704940:0.174552:0.000000
→:@0.715546:0.196366:0.729584:0.196366:0.729584:0.179094:0.715546:0.179094:0.000000
x:@0.733363:0.189589:0.740188:0.189589:0.740188:0.174552:0.733363:0.174552:0.000000
0:@0.740189:0.192476:0.744711:0.192476:0.744711:0.183695:0.740189:0.183695:0.000000
–:@0.742660:0.183687:0.748249:0.183687:0.748249:0.174905:0.742660:0.174905:0.000000
verifica   <   y para cada   > 0,   :@0.638504:0.205325:0.848868:0.205325:0.848868:0.190262:0.638504:0.190262:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x x:@0.688407:0.205431:0.719489:0.205431:0.719489:0.190394:0.688407:0.190394:0.000000:0.000000:0.000000
0:@0.719486:0.208318:0.724009:0.208318:0.724009:0.199537:0.719486:0.199537:0.000000
δ:@0.805431:0.212208:0.814226:0.212208:0.814226:0.194936:0.805431:0.194936:0.000000
d x x:@0.638500:0.221273:0.676781:0.221273:0.676781:0.206236:0.638500:0.206236:0.000000:0.000000:0.000000:0.000000:0.000000
( ,  ) =   –  <  .:@0.646873:0.221167:0.763708:0.221167:0.763708:0.206104:0.646873:0.206104:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0:@0.659136:0.224160:0.663658:0.224160:0.663658:0.215379:0.659136:0.215379:0.000000
x:@0.699648:0.221273:0.706473:0.221273:0.706473:0.206236:0.699648:0.206236:0.000000
0:@0.706471:0.224160:0.710994:0.224160:0.710994:0.215379:0.706471:0.215379:0.000000
x :@0.728145:0.221273:0.738751:0.221273:0.738751:0.206236:0.728145:0.206236:0.000000:0.000000
δ:@0.752400:0.228050:0.761195:0.228050:0.761195:0.210778:0.752400:0.210778:0.000000
Esto es lo mismo que :@0.638503:0.252851:0.779979:0.252851:0.779979:0.237788:0.638503:0.237788:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la notación :@0.638503:0.268693:0.715406:0.268693:0.715406:0.253630:0.638503:0.253630:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x :@0.715389:0.268799:0.725995:0.268799:0.725995:0.253762:0.715389:0.253762:0.000000:0.000000
→:@0.725995:0.276088:0.740736:0.276088:0.740736:0.257953:0.725995:0.257953:0.000000
   y estas dos, a :@0.740736:0.268693:0.850415:0.268693:0.850415:0.253630:0.740736:0.253630:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.744500:0.268799:0.751325:0.268799:0.751325:0.253762:0.744500:0.253762:0.000000
0:@0.751327:0.271686:0.755850:0.271686:0.755850:0.262905:0.751327:0.262905:0.000000
–:@0.753799:0.262897:0.759388:0.262897:0.759388:0.254115:0.753799:0.254115:0.000000
su vez, con :@0.638510:0.284535:0.713004:0.284535:0.713004:0.269472:0.638510:0.269472:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
lím x:@0.713004:0.284641:0.745528:0.284641:0.745528:0.269604:0.713004:0.269604:0.000000:0.000000:0.000000:0.000000:0.000000
(  +  ) =  ,:@0.733267:0.284535:0.812786:0.284535:0.812786:0.269472:0.733267:0.269472:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0:@0.745519:0.287528:0.750042:0.287528:0.750042:0.278747:0.745519:0.278747:0.000000
h:@0.767473:0.284641:0.776056:0.284641:0.776056:0.269604:0.767473:0.269604:0.000000
x:@0.798923:0.284641:0.805748:0.284641:0.805748:0.269604:0.798923:0.269604:0.000000
0:@0.805748:0.287528:0.810270:0.287528:0.810270:0.278747:0.805748:0.278747:0.000000
                    :@0.638504:0.297103:0.714141:0.297103:0.714141:0.282040:0.638504:0.282040:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
h:@0.714139:0.296387:0.720679:0.296387:0.720679:0.284931:0.714139:0.284931:0.000000
   0:@0.720679:0.296307:0.742179:0.296307:0.742179:0.284830:0.720679:0.284830:0.000000:0.000000:0.000000:0.000000
→:@0.723560:0.300916:0.733387:0.300916:0.733387:0.288826:0.723560:0.288826:0.000000
–:@0.742177:0.291656:0.746968:0.291656:0.746968:0.284129:0.742177:0.284129:0.000000
que se lee: \límite de :@0.638503:0.312950:0.773839:0.312950:0.773839:0.297887:0.638503:0.297887:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x  + h:@0.773839:0.313056:0.811272:0.313056:0.811272:0.298019:0.773839:0.298019:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0:@0.780663:0.315943:0.785185:0.315943:0.785185:0.307162:0.780663:0.307162:0.000000
 :@0.811272:0.312950:0.815054:0.312950:0.815054:0.297887:0.811272:0.297887:0.000000
cuando   tiende a cero por :@0.638503:0.328792:0.818746:0.328792:0.818746:0.313729:0.638503:0.313729:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
h:@0.691642:0.328898:0.700226:0.328898:0.700226:0.313861:0.691642:0.313861:0.000000
la izquierda igual a  ”.:@0.638503:0.344634:0.778063:0.344634:0.778063:0.329571:0.638503:0.329571:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.760401:0.344740:0.767226:0.344740:0.767226:0.329703:0.760401:0.329703:0.000000
0:@0.767225:0.347627:0.771748:0.347627:0.771748:0.338846:0.767225:0.338846:0.000000
Competencia :@0.684804:0.656087:0.782426:0.656087:0.782426:0.640614:0.684804:0.640614:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
comunicacional:@0.684804:0.668655:0.796762:0.668655:0.796762:0.653182:0.684804:0.653182:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Aprende las siguientes :@0.678232:0.693129:0.826285:0.693129:0.826285:0.678066:0.678232:0.678066:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
definiciones::@0.638496:0.708971:0.719565:0.708971:0.719565:0.693908:0.638496:0.693908:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Asíntotas verticales:@0.638496:0.725236:0.776451:0.725236:0.776451:0.709763:0.638496:0.709763:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
: rectas :@0.776451:0.724813:0.825124:0.724813:0.825124:0.709750:0.776451:0.709750:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
perpendiculares al eje de las :@0.638496:0.740655:0.822433:0.740655:0.822433:0.725592:0.638496:0.725592:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
abscisas, de ecuación :@0.638496:0.756497:0.778757:0.756497:0.778757:0.741434:0.638496:0.741434:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x = a:@0.778757:0.756603:0.811281:0.756603:0.811281:0.741566:0.778757:0.741566:0.000000:0.000000:0.000000:0.000000:0.000000
, con :@0.811281:0.756497:0.845967:0.756497:0.845967:0.741434:0.811281:0.741434:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a una constante.:@0.638496:0.772339:0.744810:0.772339:0.744810:0.757276:0.638496:0.757276:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Asíntotas horizontales:@0.638496:0.788604:0.796713:0.788604:0.796713:0.773131:0.638496:0.773131:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
: rectas :@0.796713:0.788181:0.845384:0.788181:0.845384:0.773118:0.796713:0.773118:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
perpendiculares al eje de las :@0.638496:0.804023:0.822433:0.804023:0.822433:0.788960:0.638496:0.788960:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ordenadas, de ecuación   =  , :@0.638496:0.819865:0.834482:0.819865:0.834482:0.804802:0.638496:0.804802:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y b:@0.795274:0.819971:0.828185:0.819971:0.828185:0.804934:0.795274:0.804934:0.000000:0.000000:0.000000
con b una constante.:@0.638496:0.835707:0.774692:0.835707:0.774692:0.820644:0.638496:0.820644:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Asíntotas oblicuas:@0.638496:0.851972:0.767640:0.851972:0.767640:0.836499:0.638496:0.836499:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
: si no son :@0.767640:0.851549:0.835465:0.851549:0.835465:0.836486:0.767640:0.836486:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
paralelas o perpendiculares a los :@0.638496:0.867391:0.850452:0.867391:0.850452:0.852328:0.638496:0.852328:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ejes,  su ecuación :@0.638496:0.883233:0.753375:0.883233:0.753375:0.868170:0.638496:0.868170:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y mx b:@0.638496:0.899181:0.709190:0.899181:0.709190:0.884144:0.638496:0.884144:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 = :@0.645514:0.899075:0.662946:0.899075:0.662946:0.884012:0.645514:0.884012:0.000000:0.000000:0.000000
 +  , donde m es la pen-:@0.683298:0.899075:0.840971:0.899075:0.840971:0.884012:0.683298:0.884012:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
diente y b la ordenada al origen :@0.638496:0.914917:0.845689:0.914917:0.845689:0.899854:0.638496:0.899854:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de la recta.:@0.638496:0.930759:0.708678:0.930759:0.708678:0.915696:0.638496:0.915696:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 ©:@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