82:@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
2.3 Cálculo de límites por medio de la simplificación:@0.073089:0.136836:0.479057:0.136836:0.479057:0.119889:0.073089:0.119889:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
En algunos casos no podemos aplicar la sustitución directa porque se genera una indeterminación. Entonces, al :@0.073089:0.164198:0.930250:0.164198:0.930250:0.148486:0.073089:0.148486:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
desarrollar las expresiones y simplificar podemos acabar la indeterminación, tal como se muestra en los siguientes :@0.073089:0.180840:0.930458:0.180840:0.930458:0.165127:0.073089:0.165127:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ejemplos.:@0.073089:0.197482:0.143084:0.197482:0.143084:0.181769:0.073089:0.181769:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejemplo 5. :@0.073089:0.242720:0.156437:0.242720:0.156437:0.226050:0.073089:0.226050:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Evaluar los siguientes límites::@0.156308:0.242720:0.365136:0.242720:0.365136:0.227007:0.156308:0.227007:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a.  lim:@0.073089:0.286553:0.128177:0.284123:0.128177:0.268410:0.073089:0.270841:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.103290:0.290704:0.108712:0.290704:0.108712:0.278772:0.103290:0.278772:0.000000
0:@0.119462:0.290704:0.125995:0.290704:0.125995:0.279276:0.119462:0.279276:0.000000
(:@0.140145:0.280750:0.145718:0.280750:0.145718:0.264701:0.140145:0.264701:0.000000
2:@0.146638:0.280536:0.155621:0.280536:0.155621:0.264823:0.146638:0.264823:0.000000
+:@0.156652:0.281118:0.171985:0.281118:0.171985:0.263464:0.156652:0.263464:0.000000
x:@0.172997:0.280536:0.180452:0.280536:0.180452:0.264130:0.172997:0.264130:0.000000
):@0.181483:0.280750:0.187055:0.280750:0.187055:0.264701:0.181483:0.264701:0.000000
3:@0.187976:0.274472:0.193213:0.274472:0.193213:0.265312:0.187976:0.265312:0.000000
–:@0.193809:0.281118:0.203013:0.281118:0.203013:0.263464:0.193809:0.263464:0.000000
8:@0.204025:0.280536:0.213008:0.280536:0.213008:0.264823:0.204025:0.264823:0.000000
x:@0.172843:0.294668:0.180298:0.294668:0.180298:0.278262:0.172843:0.278262:0.000000
         lim:@0.073076:0.337534:0.129580:0.335109:0.129580:0.319396:0.073076:0.321822:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.104693:0.341691:0.110115:0.341691:0.110115:0.329759:0.104693:0.329759:0.000000
0:@0.120865:0.341691:0.127398:0.341691:0.127398:0.330264:0.120865:0.330264:0.000000
(:@0.141548:0.331736:0.147120:0.331736:0.147120:0.315687:0.141548:0.315687:0.000000
2:@0.148040:0.331522:0.157023:0.331522:0.157023:0.315809:0.148040:0.315809:0.000000
+:@0.158054:0.332104:0.173387:0.332104:0.173387:0.314450:0.158054:0.314450:0.000000
x:@0.174400:0.331522:0.181854:0.331522:0.181854:0.315116:0.174400:0.315116:0.000000
):@0.182887:0.331736:0.188459:0.331736:0.188459:0.315687:0.182887:0.315687:0.000000
3:@0.189380:0.325458:0.194617:0.325458:0.194617:0.316297:0.189380:0.316297:0.000000
–:@0.195213:0.332104:0.204417:0.332104:0.204417:0.314450:0.195213:0.314450:0.000000
8:@0.205429:0.331522:0.214412:0.331522:0.214412:0.315809:0.205429:0.315809:0.000000
x:@0.174247:0.345653:0.181702:0.345653:0.181702:0.329247:0.174247:0.329247:0.000000
=:@0.222879:0.338123:0.238212:0.338123:0.238212:0.320469:0.222879:0.320469:0.000000
x:@0.238122:0.341691:0.243544:0.341691:0.243544:0.329759:0.238122:0.329759:0.000000
0:@0.254294:0.341691:0.260827:0.341691:0.260827:0.330264:0.254294:0.330264:0.000000
lim:@0.238122:0.335109:0.263009:0.335109:0.263009:0.319396:0.238122:0.319396:0.000000:0.000000:0.000000
8 3 2:@0.272962:0.330904:0.323311:0.330904:0.323311:0.315191:0.272962:0.315191:0.000000:0.000000:0.000000:0.000000:0.000000
+ ( ) + ( ) + –:@0.282969:0.331118:0.439564:0.331118:0.439564:0.315069:0.282969:0.315069:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.330828:0.324840:0.336065:0.324840:0.336065:0.315680:0.330828:0.315680:0.000000
x:@0.336661:0.330589:0.343438:0.330589:0.343438:0.315674:0.336661:0.315674:0.000000
3 2:@0.358238:0.330904:0.383720:0.330904:0.383720:0.315191:0.358238:0.315191:0.000000:0.000000:0.000000
x:@0.391237:0.330589:0.398014:0.330589:0.398014:0.315674:0.391237:0.315674:0.000000
2:@0.397954:0.324840:0.403191:0.324840:0.403191:0.315680:0.397954:0.315680:0.000000
x:@0.418647:0.330589:0.425424:0.330589:0.425424:0.315674:0.418647:0.315674:0.000000
3:@0.425364:0.324840:0.430601:0.324840:0.430601:0.315680:0.425364:0.315680:0.000000
8:@0.440485:0.330904:0.449467:0.330904:0.449467:0.315191:0.440485:0.315191:0.000000
x:@0.357486:0.345660:0.364941:0.345660:0.364941:0.329254:0.357486:0.329254:0.000000
=:@0.456260:0.338129:0.471593:0.338129:0.471593:0.320475:0.456260:0.320475:0.000000
x:@0.471501:0.341691:0.476923:0.341691:0.476923:0.329759:0.471501:0.329759:0.000000
0:@0.487673:0.341691:0.494205:0.341691:0.494205:0.330264:0.487673:0.330264:0.000000
lim:@0.471501:0.335109:0.496388:0.335109:0.496388:0.319396:0.471501:0.319396:0.000000:0.000000:0.000000
12:@0.504602:0.330904:0.523599:0.330904:0.523599:0.315191:0.504602:0.315191:0.000000:0.000000
x:@0.524616:0.330589:0.531393:0.330589:0.531393:0.315674:0.524616:0.315674:0.000000
+:@0.531326:0.331118:0.545266:0.331118:0.545266:0.315069:0.531326:0.315069:0.000000
6:@0.546193:0.330904:0.555175:0.330904:0.555175:0.315191:0.546193:0.315191:0.000000
x:@0.555095:0.330589:0.561872:0.330589:0.561872:0.315674:0.555095:0.315674:0.000000
2:@0.561812:0.324840:0.567049:0.324840:0.567049:0.315680:0.561812:0.315680:0.000000
+:@0.567645:0.331118:0.581585:0.331118:0.581585:0.315069:0.567645:0.315069:0.000000
x:@0.582505:0.330589:0.589282:0.330589:0.589282:0.315674:0.582505:0.315674:0.000000
3:@0.589222:0.324840:0.594459:0.324840:0.594459:0.315680:0.589222:0.315680:0.000000
x:@0.545803:0.345655:0.553258:0.345655:0.553258:0.329249:0.545803:0.329249:0.000000
 :@0.073089:0.388526:0.077120:0.388526:0.077120:0.372814:0.073089:0.372814:0.000000
 :@0.133330:0.388526:0.137361:0.388526:0.137361:0.372814:0.133330:0.372814:0.000000
        lim:@0.193565:0.388526:0.261354:0.386096:0.261354:0.370383:0.193565:0.372814:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.221226:0.389109:0.236559:0.389109:0.236559:0.371455:0.221226:0.371455:0.000000
x:@0.236467:0.392677:0.241889:0.392677:0.241889:0.380745:0.236467:0.380745:0.000000
1:@0.252640:0.392677:0.259173:0.392677:0.259173:0.381249:0.252640:0.381249:0.000000
x:@0.271401:0.381575:0.278178:0.381575:0.278178:0.366660:0.271401:0.366660:0.000000
(:@0.278111:0.382104:0.283683:0.382104:0.283683:0.366055:0.278111:0.366055:0.000000
12 6:@0.283606:0.381890:0.327463:0.381890:0.327463:0.366177:0.283606:0.366177:0.000000:0.000000:0.000000:0.000000
+ + ):@0.303620:0.382104:0.367082:0.382104:0.367082:0.366055:0.303620:0.366055:0.000000:0.000000:0.000000:0.000000:0.000000
x x:@0.327382:0.381575:0.355729:0.381575:0.355729:0.366660:0.327382:0.366660:0.000000:0.000000:0.000000
2:@0.355676:0.375826:0.360913:0.375826:0.360913:0.366665:0.355676:0.366665:0.000000
x:@0.315515:0.396640:0.322969:0.396640:0.322969:0.380234:0.315515:0.380234:0.000000
=:@0.373737:0.389110:0.389070:0.389110:0.389070:0.371456:0.373737:0.371456:0.000000
x:@0.388985:0.392713:0.394406:0.392713:0.394406:0.380782:0.388985:0.380782:0.000000
0:@0.405156:0.392713:0.411689:0.392713:0.411689:0.381286:0.405156:0.381286:0.000000
lim 12 6:@0.388985:0.386132:0.467175:0.388526:0.467175:0.372814:0.388985:0.370419:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 (:@0.414976:0.389114:0.425707:0.389114:0.425707:0.371460:0.414976:0.371460:0.000000:0.000000
+ +:@0.443333:0.388741:0.487745:0.388741:0.487745:0.372691:0.443333:0.372691:0.000000:0.000000:0.000000
x x:@0.467095:0.388211:0.495442:0.388211:0.495442:0.373297:0.467095:0.373297:0.000000:0.000000:0.000000
2:@0.495389:0.382462:0.500625:0.382462:0.500625:0.373302:0.495389:0.373302:0.000000
) 12 6 0:@0.501222:0.388526:0.579508:0.388526:0.579508:0.372814:0.501222:0.372814:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.507131:0.389109:0.522464:0.389109:0.522464:0.371455:0.507131:0.371455:0.000000
+ ( )+:@0.541275:0.388741:0.598854:0.388741:0.598854:0.372691:0.541275:0.372691:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0:@0.599774:0.388526:0.608757:0.388526:0.608757:0.372814:0.599774:0.372814:0.000000
2:@0.608677:0.382462:0.613914:0.382462:0.613914:0.373302:0.608677:0.373302:0.000000
=:@0.614512:0.389109:0.629845:0.389109:0.629845:0.371455:0.614512:0.371455:0.000000
12.:@0.630858:0.388526:0.651879:0.388526:0.651879:0.372814:0.630858:0.372814:0.000000:0.000000:0.000000
Observemos el comportamiento de la gráfica de la función cuando   tiende a cero.:@0.073081:0.433764:0.672187:0.433758:0.672187:0.418045:0.073081:0.418052:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.563765:0.433443:0.570542:0.433443:0.570542:0.418528:0.563765:0.418528:0.000000
0:@0.495280:0.713869:0.504426:0.713869:0.504426:0.697871:0.495280:0.697871:0.000000
10:@0.577932:0.713869:0.596224:0.713869:0.596224:0.697871:0.577932:0.697871:0.000000:0.000000
50:@0.486133:0.644335:0.504425:0.644335:0.504425:0.628337:0.486133:0.628337:0.000000:0.000000
100:@0.476987:0.583448:0.504425:0.583448:0.504425:0.567450:0.476987:0.567450:0.000000:0.000000:0.000000
150:@0.476987:0.521813:0.504425:0.521813:0.504425:0.505815:0.476987:0.505815:0.000000:0.000000:0.000000
-10:@0.413413:0.713869:0.437290:0.713869:0.437290:0.697871:0.413413:0.697871:0.000000:0.000000:0.000000
(0,12):@0.528900:0.674757:0.584770:0.674757:0.584770:0.652759:0.528900:0.652759:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Figura 2.2:@0.463040:0.739075:0.536993:0.739075:0.536993:0.722406:0.463040:0.722406:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b.  lim:@0.073089:0.786488:0.128177:0.784056:0.128177:0.768343:0.073089:0.770775:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.103290:0.790638:0.108712:0.790638:0.108712:0.778707:0.103290:0.778707:0.000000
3:@0.119462:0.790638:0.125995:0.790638:0.125995:0.779211:0.119462:0.779211:0.000000
x:@0.138209:0.780469:0.145664:0.780469:0.145664:0.764063:0.138209:0.764063:0.000000
3:@0.146702:0.774405:0.151938:0.774405:0.151938:0.765245:0.146702:0.765245:0.000000
–:@0.152535:0.781052:0.161739:0.781052:0.161739:0.763397:0.152535:0.763397:0.000000
27:@0.162751:0.780469:0.181747:0.780469:0.181747:0.764757:0.162751:0.764757:0.000000:0.000000
x:@0.146129:0.797804:0.153584:0.797804:0.153584:0.781398:0.146129:0.781398:0.000000
–:@0.154615:0.798387:0.163819:0.798387:0.163819:0.780733:0.154615:0.780733:0.000000
3:@0.164831:0.797804:0.173814:0.797804:0.173814:0.782092:0.164831:0.782092:0.000000
         lim:@0.073089:0.837468:0.129580:0.835043:0.129580:0.819330:0.073089:0.821755:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.104693:0.841624:0.110115:0.841624:0.110115:0.829693:0.104693:0.829693:0.000000
3:@0.120865:0.841624:0.127398:0.841624:0.127398:0.830197:0.120865:0.830197:0.000000
x:@0.139611:0.831456:0.147066:0.831456:0.147066:0.815050:0.139611:0.815050:0.000000
3:@0.148104:0.825392:0.153341:0.825392:0.153341:0.816232:0.148104:0.816232:0.000000
–:@0.153939:0.832039:0.163143:0.832039:0.163143:0.814385:0.153939:0.814385:0.000000
27:@0.164155:0.831456:0.183151:0.831456:0.183151:0.815744:0.164155:0.815744:0.000000:0.000000
x:@0.147533:0.848792:0.154988:0.848792:0.154988:0.832385:0.147533:0.832385:0.000000
–:@0.156019:0.849374:0.165223:0.849374:0.165223:0.831720:0.156019:0.831720:0.000000
3:@0.166235:0.848792:0.175218:0.848792:0.175218:0.833079:0.166235:0.833079:0.000000
=:@0.189668:0.838058:0.205001:0.838058:0.205001:0.820403:0.189668:0.820403:0.000000
x:@0.204919:0.841624:0.210341:0.841624:0.210341:0.829693:0.204919:0.829693:0.000000
3:@0.221090:0.841624:0.227623:0.841624:0.227623:0.830197:0.221090:0.830197:0.000000
lim:@0.204919:0.835043:0.229805:0.835043:0.229805:0.819330:0.204919:0.819330:0.000000:0.000000:0.000000
(:@0.237096:0.831671:0.242669:0.831671:0.242669:0.815621:0.237096:0.815621:0.000000
x:@0.243589:0.831456:0.251044:0.831456:0.251044:0.815050:0.243589:0.815050:0.000000
–:@0.252075:0.832039:0.261278:0.832039:0.261278:0.814385:0.252075:0.814385:0.000000
3:@0.262291:0.831456:0.271274:0.831456:0.271274:0.815744:0.262291:0.815744:0.000000
) (:@0.272304:0.831671:0.288553:0.831671:0.288553:0.815621:0.272304:0.815621:0.000000:0.000000:0.000000
x:@0.290394:0.831456:0.297849:0.831456:0.297849:0.815050:0.290394:0.815050:0.000000
2:@0.298888:0.825392:0.304125:0.825392:0.304125:0.816232:0.298888:0.816232:0.000000
+:@0.304721:0.832039:0.320054:0.832039:0.320054:0.814385:0.304721:0.814385:0.000000
3:@0.321067:0.831456:0.330050:0.831456:0.330050:0.815744:0.321067:0.815744:0.000000
x:@0.331080:0.831456:0.338535:0.831456:0.338535:0.815050:0.331080:0.815050:0.000000
+:@0.339566:0.832039:0.354899:0.832039:0.354899:0.814385:0.339566:0.814385:0.000000
9:@0.355912:0.831456:0.364895:0.831456:0.364895:0.815744:0.355912:0.815744:0.000000
):@0.365919:0.831671:0.371491:0.831671:0.371491:0.815621:0.365919:0.815621:0.000000
x:@0.290447:0.848792:0.297902:0.848792:0.297902:0.832385:0.290447:0.832385:0.000000
–:@0.298933:0.849374:0.308137:0.849374:0.308137:0.831720:0.298933:0.831720:0.000000
3:@0.309149:0.848792:0.318132:0.848792:0.318132:0.833079:0.309149:0.833079:0.000000
=:@0.375636:0.838058:0.390969:0.838058:0.390969:0.820403:0.375636:0.820403:0.000000
x:@0.390882:0.844753:0.396304:0.844753:0.396304:0.832822:0.390882:0.832822:0.000000
3:@0.407054:0.844753:0.413587:0.844753:0.413587:0.833326:0.407054:0.833326:0.000000
lim:@0.390882:0.838171:0.415769:0.838171:0.415769:0.822458:0.390882:0.822458:0.000000:0.000000:0.000000
(:@0.416890:0.837688:0.422462:0.837688:0.422462:0.821639:0.416890:0.821639:0.000000
x:@0.422379:0.837474:0.429834:0.837474:0.429834:0.821068:0.422379:0.821068:0.000000
2:@0.430873:0.831410:0.436110:0.831410:0.436110:0.822249:0.430873:0.822249:0.000000
+:@0.436706:0.838056:0.452039:0.838056:0.452039:0.820402:0.436706:0.820402:0.000000
3:@0.453052:0.837474:0.462035:0.837474:0.462035:0.821761:0.453052:0.821761:0.000000
x:@0.463065:0.837474:0.470520:0.837474:0.470520:0.821068:0.463065:0.821068:0.000000
+:@0.471551:0.838056:0.486884:0.838056:0.486884:0.820402:0.471551:0.820402:0.000000
9:@0.487897:0.837474:0.496880:0.837474:0.496880:0.821761:0.487897:0.821761:0.000000
)=:@0.497904:0.837688:0.517332:0.837688:0.517332:0.821639:0.497904:0.821639:0.000000:0.000000
9 3 3:@0.517248:0.837474:0.569083:0.837474:0.569083:0.821761:0.517248:0.821761:0.000000:0.000000:0.000000:0.000000:0.000000
+:@0.527262:0.838056:0.542595:0.838056:0.542595:0.820402:0.527262:0.820402:0.000000
( ):@0.553607:0.837688:0.575678:0.837688:0.575678:0.821639:0.553607:0.821639:0.000000:0.000000:0.000000
+:@0.576598:0.838056:0.591931:0.838056:0.591931:0.820402:0.576598:0.820402:0.000000
9 27.:@0.592944:0.837474:0.640036:0.837474:0.640036:0.821761:0.592944:0.821761:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.602951:0.837688:0.616890:0.837688:0.616890:0.821639:0.602951:0.821639:0.000000
La figura 2.3 nos permite ver el comportamiento de la gráfica de la función cuando   toma valores cercanos a 3 por la :@0.073093:0.882712:0.931076:0.882706:0.931076:0.866993:0.073093:0.866999:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.681533:0.882390:0.688310:0.882390:0.688310:0.867476:0.681533:0.867476:0.000000
izquierda y por la derecha.:@0.073098:0.899347:0.263002:0.899347:0.263002:0.883635:0.073098:0.883635:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
EBC 11. 1. Comprende el concepto de función continua.:@0.621122:0.971366:0.916090:0.971366:0.916090:0.959939:0.621122:0.959939:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
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