110:@0.031627:0.974518:0.062330:0.974518:0.062330:0.956333:0.031627:0.956333:0.000000:0.000000:0.000000
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
Ejemplo 4:@0.293660:0.136836:0.369443:0.136836:0.369443:0.120167:0.293660:0.120167:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Aplicando la definición anterior, :@0.293660:0.167776:0.551586:0.167776:0.551586:0.152063:0.293660:0.152063:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
describamos la continuidad de la :@0.293660:0.184418:0.551310:0.184418:0.551310:0.168705:0.293660:0.168705:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
función cuya gráfica es la mostrada :@0.293660:0.201060:0.551649:0.201060:0.551649:0.185347:0.293660:0.185347:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
en la Figura 6.6.:@0.293660:0.217702:0.405366:0.217702:0.405366:0.201989:0.293660:0.201989:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Al observar la gráfica, identificamos :@0.293660:0.262940:0.551697:0.262940:0.551697:0.247227:0.293660:0.247227:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
varios intervalos::@0.293660:0.279582:0.413802:0.279582:0.413802:0.263869:0.293660:0.263869:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
• :@0.293660:0.324804:0.302164:0.324804:0.302164:0.309092:0.293660:0.309092:0.000000:0.000000
La función es continua en los :@0.323861:0.324804:0.551375:0.324804:0.551375:0.309092:0.323861:0.309092:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
intervalos abiertos :@0.323788:0.341446:0.466665:0.341446:0.466665:0.325734:0.323788:0.325734:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(–∞ ) (:@0.467935:0.342029:0.534937:0.342029:0.534937:0.324375:0.467935:0.324375:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
, 0 ,  0, :@0.496043:0.341446:0.551467:0.341446:0.551467:0.325734:0.496043:0.325734:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2  y  4,  .:@0.323788:0.358088:0.398098:0.358088:0.398098:0.342375:0.323788:0.342375:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
) ( ∞):@0.332697:0.358671:0.394987:0.358671:0.394987:0.341016:0.332697:0.341016:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
• :@0.293660:0.403320:0.302164:0.403320:0.302164:0.387607:0.293660:0.387607:0.000000:0.000000
La función es continua en el :@0.323861:0.403320:0.550528:0.403320:0.550528:0.387607:0.323861:0.387607:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
intervalo cerrado  2, 4 .:@0.323788:0.419962:0.491404:0.419962:0.491404:0.404249:0.323788:0.404249:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
[:@0.451258:0.420544:0.457388:0.420544:0.457388:0.402890:0.451258:0.402890:0.000000
]:@0.482164:0.420544:0.488293:0.420544:0.488293:0.402890:0.482164:0.402890:0.000000
6.3 Continuidad de funciones y sus propiedades:@0.293655:0.465200:0.669839:0.465200:0.669839:0.448253:0.293655:0.448253:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Una función polinómica es continua en todo número real  . Una función racional es :@0.293655:0.499704:0.930955:0.499704:0.930955:0.483991:0.293655:0.483991:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.732687:0.499704:0.741945:0.499704:0.741945:0.483298:0.732687:0.483298:0.000000
continua en todo número real   para el cual está definida, es decir, para todos los reales :@0.293655:0.516346:0.931299:0.516346:0.931299:0.500633:0.293655:0.500633:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.516659:0.516346:0.525918:0.516346:0.525918:0.499940:0.516659:0.499940:0.000000
que no hacen cero el denominador.:@0.293637:0.532988:0.553330:0.532988:0.553330:0.517275:0.293637:0.517275:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Las funciones trigonométricas seno y coseno son continuas en todo número real  . La :@0.293637:0.560349:0.930914:0.560349:0.930914:0.544637:0.293637:0.544637:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.893437:0.560349:0.902696:0.560349:0.902696:0.543943:0.893437:0.543943:0.000000
continuidad de las demás funciones trigonométricas como :@0.293655:0.576991:0.720865:0.576991:0.720865:0.561279:0.293655:0.561279:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tan x  cot x  sec x csc x:@0.720243:0.576991:0.876502:0.576991:0.876502:0.560585:0.720243:0.560585:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
,:@0.754278:0.576991:0.757481:0.576991:0.757481:0.561279:0.754278:0.561279:0.000000
,:@0.792197:0.576991:0.795400:0.576991:0.795400:0.561279:0.792197:0.561279:0.000000
 y :@0.829858:0.576991:0.845357:0.576991:0.845357:0.561279:0.829858:0.561279:0.000000:0.000000:0.000000
 se dan :@0.876410:0.576991:0.930953:0.576991:0.930953:0.561279:0.876410:0.561279:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
en todo número real   de sus respectivos dominios.:@0.293655:0.593633:0.667886:0.593633:0.667886:0.577920:0.293655:0.577920:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.447208:0.593633:0.456467:0.593633:0.456467:0.577227:0.447208:0.577227:0.000000
La funciones exponenciales y logarítmicas son continuas en todo número real a en sus :@0.293637:0.620995:0.930986:0.620995:0.930986:0.605282:0.293637:0.605282:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
dominios.:@0.293637:0.637637:0.365142:0.637637:0.365142:0.621924:0.293637:0.621924:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Dadas las funciones :@0.315796:0.679231:0.471134:0.679231:0.471134:0.663519:0.315796:0.663519:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f x:@0.472704:0.679231:0.491369:0.679231:0.491369:0.662825:0.472704:0.662825:0.000000:0.000000:0.000000
( ):@0.477564:0.679814:0.497664:0.679814:0.497664:0.662160:0.477564:0.662160:0.000000:0.000000:0.000000
 y :@0.497885:0.679231:0.515851:0.679231:0.515851:0.663519:0.497885:0.663519:0.000000:0.000000:0.000000
g x:@0.517452:0.679231:0.540682:0.679231:0.540682:0.662825:0.517452:0.662825:0.000000:0.000000:0.000000
( ):@0.526877:0.679814:0.546977:0.679814:0.546977:0.662160:0.526877:0.662160:0.000000:0.000000:0.000000
 continuas en un punto   o en un intervalo, se :@0.547198:0.679231:0.911156:0.679231:0.911156:0.663519:0.547198:0.663519:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.734842:0.679231:0.744101:0.679231:0.744101:0.662825:0.734842:0.662825:0.000000
cumple lo siguiente::@0.315764:0.695873:0.463015:0.695873:0.463015:0.680161:0.315764:0.680161:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
• :@0.315796:0.726809:0.325404:0.726809:0.325404:0.711097:0.315796:0.711097:0.000000:0.000000
( + )( )= ( )+ ( ):@0.344893:0.727392:0.507539:0.727392:0.507539:0.709738:0.344893:0.709738:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f g x:@0.352035:0.726809:0.406133:0.726809:0.406133:0.710403:0.352035:0.710403:0.000000:0.000000:0.000000:0.000000:0.000000
f x:@0.430652:0.726809:0.450974:0.726809:0.450974:0.710403:0.430652:0.710403:0.000000:0.000000:0.000000
g x:@0.475492:0.726809:0.500379:0.726809:0.500379:0.710403:0.475492:0.710403:0.000000:0.000000:0.000000
 es continua en ese punto o intervalo. :@0.508551:0.726809:0.785166:0.726809:0.785166:0.711097:0.508551:0.711097:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
• :@0.315796:0.757747:0.325404:0.757747:0.325404:0.742034:0.315796:0.742034:0.000000:0.000000
( – )( )= ( )– ( ):@0.344893:0.758329:0.495280:0.758329:0.495280:0.740675:0.344893:0.740675:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f g x:@0.352035:0.757747:0.400004:0.757747:0.400004:0.741341:0.352035:0.741341:0.000000:0.000000:0.000000:0.000000:0.000000
f x g x:@0.424522:0.757747:0.488119:0.757747:0.488119:0.741341:0.424522:0.741341:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 es continua en ese punto o intervalo.:@0.496292:0.757747:0.768878:0.757747:0.768878:0.742034:0.496292:0.742034:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
• :@0.315796:0.788684:0.325404:0.788684:0.325404:0.772972:0.315796:0.772972:0.000000:0.000000
( × )( )= ( )× ( ):@0.344893:0.789267:0.507539:0.789267:0.507539:0.771613:0.344893:0.771613:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f g x:@0.352035:0.788684:0.406133:0.788684:0.406133:0.772278:0.352035:0.772278:0.000000:0.000000:0.000000:0.000000:0.000000
f x:@0.430652:0.788684:0.450974:0.788684:0.450974:0.772278:0.430652:0.772278:0.000000:0.000000:0.000000
g x:@0.475492:0.788684:0.500379:0.788684:0.500379:0.772278:0.475492:0.772278:0.000000:0.000000:0.000000
 es continua en ese punto o intervalo.:@0.508551:0.788684:0.781135:0.788684:0.781135:0.772972:0.508551:0.772972:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
• :@0.315796:0.831724:0.324300:0.831724:0.324300:0.816011:0.315796:0.816011:0.000000:0.000000
 :@0.345997:0.831724:0.350028:0.831724:0.350028:0.816011:0.345997:0.816011:0.000000
∙ ∙:@0.349948:0.839033:0.381262:0.839033:0.381262:0.808540:0.349948:0.808540:0.000000:0.000000:0.000000
f:@0.363524:0.823227:0.368218:0.823227:0.368218:0.806821:0.363524:0.806821:0.000000
g:@0.361242:0.837678:0.370500:0.837678:0.370500:0.821272:0.361242:0.821272:0.000000
( )=:@0.383011:0.832306:0.421114:0.832306:0.421114:0.814652:0.383011:0.814652:0.000000:0.000000:0.000000:0.000000
x:@0.390153:0.831724:0.397608:0.831724:0.397608:0.815317:0.390153:0.815317:0.000000
f x:@0.427359:0.824348:0.447680:0.824348:0.447680:0.807942:0.427359:0.807942:0.000000:0.000000:0.000000
( ):@0.433083:0.824931:0.454841:0.824931:0.454841:0.807276:0.433083:0.807276:0.000000:0.000000:0.000000
g x:@0.425058:0.842030:0.449944:0.842030:0.449944:0.825624:0.425058:0.825624:0.000000:0.000000:0.000000
( ):@0.435347:0.842613:0.457105:0.842613:0.457105:0.824958:0.435347:0.824958:0.000000:0.000000:0.000000
 es continua en ese punto o intervalo. :@0.460860:0.831726:0.737403:0.831726:0.737403:0.816013:0.460860:0.816013:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
g a:@0.737079:0.831726:0.761561:0.831726:0.761561:0.815320:0.737079:0.815320:0.000000:0.000000:0.000000
( )≠:@0.746264:0.832309:0.782858:0.832309:0.782858:0.814654:0.746264:0.814654:0.000000:0.000000:0.000000:0.000000
0.:@0.782766:0.831726:0.794878:0.831726:0.794878:0.816013:0.782766:0.816013:0.000000:0.000000
• :@0.315796:0.862661:0.324300:0.862661:0.324300:0.846948:0.315796:0.846948:0.000000:0.000000
Si   es continua en   y   es continua en :@0.345997:0.862661:0.633316:0.862661:0.633316:0.846948:0.345997:0.846948:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
g:@0.362416:0.862661:0.371675:0.862661:0.371675:0.846255:0.362416:0.846255:0.000000
a f:@0.487383:0.862661:0.517663:0.862661:0.517663:0.846255:0.487383:0.846255:0.000000:0.000000:0.000000
g a:@0.633371:0.862661:0.657853:0.862661:0.657853:0.846255:0.633371:0.846255:0.000000:0.000000:0.000000
( ):@0.642556:0.863243:0.663909:0.863243:0.663909:0.845589:0.642556:0.845589:0.000000:0.000000:0.000000
, entonces la composición :@0.663817:0.862661:0.857766:0.862661:0.857766:0.846948:0.663817:0.846948:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f g:@0.857774:0.862661:0.887309:0.862661:0.887309:0.846255:0.857774:0.846255:0.000000:0.000000:0.000000
	∘	:@0.862443:0.863243:0.877868:0.863243:0.877868:0.845589:0.862443:0.845589:0.000000:0.000000:0.000000
 es :@0.887235:0.862661:0.911183:0.862661:0.911183:0.846948:0.887235:0.846948:0.000000:0.000000:0.000000:0.000000
continua en  .:@0.345915:0.879303:0.449585:0.879303:0.449585:0.863590:0.345915:0.863590:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.437197:0.879303:0.446455:0.879303:0.446455:0.862897:0.437197:0.862897:0.000000
y:@0.694753:0.159559:0.703588:0.159559:0.703588:0.142418:0.694753:0.142418:0.000000
x:@0.911469:0.283323:0.920084:0.283323:0.920084:0.266182:0.911469:0.266182:0.000000
0:@0.683173:0.294610:0.692972:0.294610:0.692972:0.277469:0.683173:0.277469:0.000000
3:@0.770222:0.298392:0.780022:0.298392:0.780022:0.281251:0.770222:0.281251:0.000000
2:@0.679839:0.247967:0.689639:0.247967:0.689639:0.230826:0.679839:0.230826:0.000000
5:@0.679839:0.191733:0.689639:0.191733:0.689639:0.174592:0.679839:0.174592:0.000000
7:@0.871067:0.298377:0.880867:0.298377:0.880867:0.281236:0.871067:0.281236:0.000000
−2:@0.667871:0.321948:0.689639:0.321948:0.689639:0.304807:0.667871:0.304807:0.000000:0.000000
x = 4:@0.779735:0.162795:0.818913:0.162795:0.818913:0.145654:0.779735:0.145654:0.000000:0.000000:0.000000:0.000000:0.000000
Figura 6.6:@0.716341:0.399292:0.790294:0.399292:0.790294:0.382622:0.716341:0.382622:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Funciones :@0.080269:0.800654:0.156708:0.800654:0.156708:0.785247:0.080269:0.785247:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
discontinuas:@0.080269:0.817296:0.171531:0.817296:0.171531:0.801889:0.080269:0.801889:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
t.ly/XaWuM:@0.098558:0.930570:0.182572:0.930570:0.182572:0.914857:0.098558:0.914857:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
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