﻿94:@0.036727:0.974518:0.057230:0.974518:0.057230:0.956333:0.036727:0.956333:0.000000:0.000000
Límites y continuidad de funciones:@0.073089:0.043661:0.383513:0.043661:0.383513:0.024916:0.073089:0.024916:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Tema 4. Límites al infinito y límites infinitos:@0.073089:0.098522:0.712848:0.098522:0.712848:0.067281:0.073089:0.067281:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Reto matemático:@0.302768:0.139665:0.425244:0.139665:0.425244:0.124259:0.302768:0.124259:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
En las secciones anteriores se introdujo el concepto de límite de una función :@0.073089:0.238675:0.624495:0.238675:0.624495:0.222963:0.073089:0.222963:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y f x:@0.623965:0.238675:0.666817:0.238675:0.666817:0.222269:0.623965:0.222269:0.000000:0.000000:0.000000:0.000000:0.000000
= ( ):@0.632451:0.239258:0.673959:0.239258:0.673959:0.221604:0.632451:0.221604:0.000000:0.000000:0.000000:0.000000:0.000000
 y el de límites laterales. Analizamos :@0.673830:0.238675:0.930943:0.238675:0.930943:0.222963:0.673830:0.222963:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cómo era el comportamiento de la función en un punto :@0.073073:0.255317:0.513323:0.255317:0.513323:0.239605:0.073073:0.239605:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x c:@0.514810:0.255317:0.546783:0.255317:0.546783:0.238911:0.514810:0.238911:0.000000:0.000000:0.000000
=:@0.523553:0.255900:0.538887:0.255900:0.538887:0.238246:0.523553:0.238246:0.000000
, es decir, qué pasaba con :@0.548072:0.255317:0.751824:0.255317:0.751824:0.239605:0.548072:0.239605:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f x:@0.753423:0.255317:0.773229:0.255317:0.773229:0.238911:0.753423:0.238911:0.000000:0.000000:0.000000
( ):@0.759405:0.255900:0.780647:0.255900:0.780647:0.238246:0.759405:0.238246:0.000000:0.000000:0.000000
 cuando la variable :@0.780887:0.255317:0.931007:0.255317:0.931007:0.239605:0.780887:0.239605:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
independiente   tomaba valores muy cercanos a   por la izquierda y por la derecha. Ahora, ampliaremos el concepto al :@0.073091:0.271959:0.931204:0.271959:0.931204:0.256246:0.073091:0.256246:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.184381:0.271959:0.191836:0.271959:0.191836:0.255553:0.184381:0.255553:0.000000
c:@0.427799:0.271959:0.435456:0.271959:0.435456:0.255553:0.427799:0.255553:0.000000
estudiar el comportamiento de la función :@0.073073:0.288601:0.379485:0.288601:0.379485:0.272888:0.073073:0.272888:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y f x:@0.379130:0.288601:0.422093:0.288601:0.422093:0.272195:0.379130:0.272195:0.000000:0.000000:0.000000:0.000000:0.000000
= ( ):@0.387634:0.289183:0.429253:0.289183:0.429253:0.271529:0.387634:0.271529:0.000000:0.000000:0.000000:0.000000:0.000000
 cuando   tiende a infinito o menos infinito.:@0.429161:0.288601:0.744418:0.288601:0.744418:0.272888:0.429161:0.272888:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.492592:0.288601:0.500047:0.288601:0.500047:0.272195:0.492592:0.272195:0.000000
4.1 Límites al infinito :@0.073036:0.323105:0.240242:0.323105:0.240242:0.306158:0.073036:0.306158:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Consideremos la función:@0.073036:0.362546:0.253486:0.362546:0.253486:0.346833:0.073036:0.346833:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 f x:@0.253261:0.362546:0.276841:0.362546:0.276841:0.346140:0.253261:0.346140:0.000000:0.000000:0.000000:0.000000
( )=:@0.263348:0.363129:0.299243:0.363129:0.299243:0.345474:0.263348:0.345474:0.000000:0.000000:0.000000:0.000000
x:@0.319203:0.354156:0.326658:0.354156:0.326658:0.337750:0.319203:0.337750:0.000000
x:@0.303980:0.373128:0.311435:0.373128:0.311435:0.356721:0.303980:0.356721:0.000000
4:@0.312469:0.367056:0.317706:0.367056:0.317706:0.357896:0.312469:0.357896:0.000000
+:@0.317658:0.373702:0.332991:0.373702:0.332991:0.356048:0.317658:0.356048:0.000000
2:@0.332899:0.373120:0.341882:0.373120:0.341882:0.357407:0.332899:0.357407:0.000000
, cuya gráfica podemos ver seguidamente.:@0.346466:0.362552:0.652622:0.362552:0.652622:0.346840:0.346466:0.346840:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Plantearemos la siguiente pregunta::@0.073081:0.397057:0.333728:0.397057:0.333728:0.381344:0.073081:0.381344:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Qué pasa con :@0.073081:0.431561:0.183598:0.431561:0.183598:0.415848:0.073081:0.415848:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f x:@0.183322:0.431561:0.202539:0.431561:0.202539:0.415155:0.183322:0.415155:0.000000:0.000000:0.000000
( ):@0.189047:0.432143:0.209700:0.432143:0.209700:0.414489:0.189047:0.414489:0.000000:0.000000:0.000000
 cuando le damos a   valores tan grandes como queramos? Simbólicamente, queremos determinar :@0.209608:0.431561:0.931255:0.431561:0.931255:0.415848:0.209608:0.415848:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.354878:0.431561:0.362333:0.431561:0.362333:0.415155:0.354878:0.415155:0.000000
x:@0.073089:0.456880:0.078510:0.456880:0.078510:0.444948:0.073089:0.444948:0.000000
∞:@0.089260:0.457304:0.098190:0.457304:0.098190:0.444464:0.089260:0.444464:0.000000
lim :@0.073089:0.447953:0.103037:0.447953:0.103037:0.432240:0.073089:0.432240:0.000000:0.000000:0.000000:0.000000
f x:@0.104031:0.447953:0.124353:0.447953:0.124353:0.431547:0.104031:0.431547:0.000000:0.000000:0.000000
( ):@0.109756:0.448535:0.131513:0.448535:0.131513:0.430881:0.109756:0.430881:0.000000:0.000000:0.000000
.:@0.133704:0.449950:0.136907:0.449950:0.136907:0.434237:0.133704:0.434237:0.000000
La expresión :@0.073070:0.484454:0.168670:0.484454:0.168670:0.468741:0.073070:0.468741:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x ∞:@0.168825:0.484454:0.207725:0.484461:0.207725:0.468055:0.168825:0.468048:0.000000:0.000000:0.000000
 significa que   toma valores cada vez más grandes (tan grandes como se quiera) sin ningún límite. :@0.208756:0.484461:0.931393:0.484461:0.931393:0.468749:0.208756:0.468749:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.308799:0.484461:0.316254:0.484461:0.316254:0.468055:0.308799:0.468055:0.000000
Recordemos que el eje   se extiende indefinidamente a la derecha y a la izquierda del origen.:@0.073076:0.501103:0.746756:0.501103:0.746756:0.485391:0.073076:0.485391:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.242957:0.501103:0.250411:0.501103:0.250411:0.484697:0.242957:0.484697:0.000000
0:@0.485899:0.604752:0.494882:0.604752:0.494882:0.589039:0.485899:0.589039:0.000000
-1:@0.415436:0.604752:0.429904:0.604752:0.429904:0.589039:0.415436:0.589039:0.000000:0.000000
-2:@0.340629:0.604752:0.355097:0.604752:0.355097:0.589039:0.340629:0.589039:0.000000:0.000000
1:@0.568253:0.604752:0.577236:0.604752:0.577236:0.589039:0.568253:0.589039:0.000000
2:@0.643557:0.604752:0.652540:0.604752:0.652540:0.589039:0.643557:0.589039:0.000000
Figura 4.1:@0.463040:0.692060:0.536993:0.692060:0.536993:0.675390:0.463040:0.675390:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Con ayuda de una calculadora, elaboraremos una tabla que nos permita ilustrar lo que pasa con f(x) cuando a x le :@0.073089:0.726570:0.930248:0.726570:0.930248:0.710857:0.073089:0.710857:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
damos valores cada vez más grandes.:@0.073089:0.743212:0.344311:0.743212:0.344311:0.727499:0.073089:0.727499:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.122805:0.781796:0.130702:0.781796:0.130702:0.766083:0.122805:0.766083:0.000000
1:@0.228997:0.781796:0.237980:0.781796:0.237980:0.766083:0.228997:0.766083:0.000000
2:@0.335722:0.781796:0.344705:0.781796:0.344705:0.766083:0.335722:0.766083:0.000000
10:@0.437993:0.781796:0.455885:0.781796:0.455885:0.766083:0.437993:0.766083:0.000000:0.000000
100:@0.540264:0.781796:0.567065:0.781796:0.567065:0.766083:0.540264:0.766083:0.000000:0.000000:0.000000
1000:@0.642534:0.781796:0.678244:0.781796:0.678244:0.766083:0.642534:0.766083:0.000000:0.000000:0.000000:0.000000
∞:@0.867710:0.785582:0.879988:0.785582:0.879988:0.767927:0.867710:0.767927:0.000000
0,5:@0.222978:0.805482:0.243999:0.805482:0.243999:0.789770:0.222978:0.789770:0.000000:0.000000:0.000000
0,1176:@0.316358:0.805482:0.364106:0.805482:0.364106:0.789770:0.316358:0.789770:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0,00099:@0.418629:0.805482:0.475286:0.805482:0.475286:0.789770:0.418629:0.789770:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0,000000999 0,000000001:@0.507554:0.805482:0.706573:0.805482:0.706573:0.789770:0.507554:0.789770:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0:@0.869357:0.805486:0.878340:0.805486:0.878340:0.789774:0.869357:0.789774:0.000000
Escribimos entonces que lim :@0.073096:0.844581:0.288709:0.845154:0.288709:0.829442:0.073096:0.828868:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.258760:0.854066:0.264182:0.854066:0.264182:0.842135:0.258760:0.842135:0.000000
∞:@0.274933:0.854490:0.283862:0.854490:0.283862:0.841651:0.274933:0.841651:0.000000
f x:@0.289703:0.845154:0.308920:0.845154:0.308920:0.828748:0.289703:0.828748:0.000000:0.000000:0.000000
( )=:@0.295427:0.845737:0.331321:0.845737:0.331321:0.828083:0.295427:0.828083:0.000000:0.000000:0.000000:0.000000
x:@0.351243:0.836756:0.358698:0.836756:0.358698:0.820350:0.351243:0.820350:0.000000
x:@0.336020:0.855728:0.343475:0.855728:0.343475:0.839322:0.336020:0.839322:0.000000
4:@0.344511:0.849658:0.349748:0.849658:0.349748:0.840497:0.344511:0.840497:0.000000
+:@0.349700:0.856304:0.365033:0.856304:0.365033:0.838650:0.349700:0.838650:0.000000
2:@0.364941:0.855722:0.373924:0.855722:0.373924:0.840009:0.364941:0.840009:0.000000
=:@0.381140:0.845154:0.396473:0.845154:0.396473:0.827500:0.381140:0.827500:0.000000
0.:@0.396381:0.844572:0.408493:0.844572:0.408493:0.828859:0.396381:0.828859:0.000000:0.000000
Si elaboráramos una tabla similar a la anterior, pero dando a x valores negativos cada vez más lejanos de 0, concluiríamos :@0.073094:0.879076:0.931160:0.879076:0.931160:0.863363:0.073094:0.863363:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
que  lim :@0.073094:0.899060:0.138982:0.900661:0.138982:0.884948:0.073094:0.883347:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.105476:0.909574:0.110898:0.909574:0.110898:0.897642:0.105476:0.897642:0.000000
–∞:@0.121648:0.909997:0.138007:0.909997:0.138007:0.897158:0.121648:0.897158:0.000000:0.000000
f x:@0.139976:0.900661:0.159193:0.900661:0.159193:0.884255:0.139976:0.884255:0.000000:0.000000:0.000000
( )=:@0.145701:0.901243:0.181595:0.901243:0.181595:0.883589:0.145701:0.883589:0.000000:0.000000:0.000000:0.000000
x:@0.201517:0.892263:0.208972:0.892263:0.208972:0.875857:0.201517:0.875857:0.000000
x:@0.186294:0.911235:0.193749:0.911235:0.193749:0.894829:0.186294:0.894829:0.000000
4:@0.194783:0.905164:0.200020:0.905164:0.200020:0.896004:0.194783:0.896004:0.000000
+:@0.199974:0.911811:0.215307:0.911811:0.215307:0.894156:0.199974:0.894156:0.000000
2:@0.215215:0.911228:0.224198:0.911228:0.224198:0.895516:0.215215:0.895516:0.000000
=:@0.231413:0.899648:0.246747:0.899648:0.246747:0.881994:0.231413:0.881994:0.000000
0.:@0.246655:0.899066:0.258767:0.899066:0.258767:0.883353:0.246655:0.883353:0.000000:0.000000
Calcula el límite de la función :@0.302778:0.164745:0.518975:0.164745:0.518975:0.149032:0.302778:0.149032:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f x:@0.518695:0.164745:0.537913:0.164745:0.537913:0.148339:0.518695:0.148339:0.000000:0.000000:0.000000
( )=:@0.524420:0.165327:0.560314:0.165327:0.560314:0.147673:0.524420:0.147673:0.000000:0.000000:0.000000:0.000000
1:@0.566405:0.160065:0.575388:0.160065:0.575388:0.144353:0.566405:0.144353:0.000000
x:@0.567179:0.174641:0.574633:0.174641:0.574633:0.158235:0.567179:0.158235:0.000000
 :@0.582622:0.164753:0.585936:0.164753:0.585936:0.148347:0.582622:0.148347:0.000000
cuando :@0.585862:0.164753:0.645465:0.164753:0.645465:0.149040:0.585862:0.149040:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x ∞.:@0.645336:0.164753:0.688569:0.164748:0.688569:0.148342:0.645336:0.148347:0.000000:0.000000:0.000000:0.000000
¿Qué valor toma :@0.302772:0.192110:0.426424:0.192110:0.426424:0.176397:0.302772:0.176397:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f x:@0.426248:0.192110:0.445465:0.192110:0.445465:0.175704:0.426248:0.175704:0.000000:0.000000:0.000000
( ):@0.431972:0.192692:0.452625:0.192692:0.452625:0.175038:0.431972:0.175038:0.000000:0.000000:0.000000
 cuando   crece indefinidamente?:@0.452533:0.192110:0.699177:0.192110:0.699177:0.176397:0.452533:0.176397:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.515965:0.192110:0.523419:0.192110:0.523419:0.175704:0.515965:0.175704:0.000000
EBC 11 1. Investiga y comprende límites infinitos y en el infinito.:@0.582960:0.971251:0.916352:0.971251:0.916352:0.959824:0.582960:0.959824:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Falta respuesta:@0.745893:0.176864:0.824210:0.176864:0.824210:0.165436:0.745893:0.165436:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
MUESTRA EDITORIAL:@0.248902:0.947499:0.888171:0.113285:0.743922:0.050540:0.104653:0.884754:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Muestra editorial solo para fines didácticos – Prohibida su venta:@0.095585:0.659700:0.095585:0.341447:0.077558:0.341447:0.077558:0.659700:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000