286:@0.031627:0.974518:0.062330:0.974518:0.062330:0.956333:0.031627:0.956333:0.000000:0.000000:0.000000 Pruebas tipo Saber:@0.073089:0.043661:0.242326:0.043661:0.242326:0.024916:0.073089:0.024916:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Pruebas tipo Saber:@0.073089:0.104826:0.467977:0.104826:0.467977:0.061088:0.073089:0.061088:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 1. Si ( )= :@0.073089:0.149516:0.161089:0.149516:0.161089:0.133082:0.073089:0.133082:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 f x:@0.122692:0.149516:0.140307:0.149516:0.140307:0.133109:0.122692:0.133109:0.000000:0.000000:0.000000 5:@0.170097:0.140410:0.179080:0.140410:0.179080:0.123977:0.170097:0.123977:0.000000 x:@0.179006:0.140410:0.186461:0.140410:0.186461:0.124004:0.179006:0.124004:0.000000 2:@0.186388:0.139856:0.201721:0.139856:0.201721:0.126140:0.186388:0.126140:0.000000 2:@0.201629:0.140410:0.210612:0.140410:0.210612:0.123977:0.201629:0.123977:0.000000 x:@0.170594:0.154695:0.178049:0.154695:0.178049:0.138289:0.170594:0.138289:0.000000 4:@0.177976:0.154695:0.210115:0.154695:0.210115:0.138261:0.177976:0.138261:0.000000:0.000000:0.000000:0.000000 2:@0.181933:0.154140:0.197266:0.154140:0.197266:0.140424:0.181933:0.140424:0.000000 , al hallar el límite de esta función :@0.217588:0.149508:0.489805:0.149508:0.489805:0.133074:0.217588:0.133074:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 cuando x tiende a 4 por la izquierda o por la derecha :@0.103205:0.166150:0.490120:0.166150:0.490120:0.149716:0.103205:0.149716:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 encontramos que la asíntota vertical de la gráfica de f :@0.103205:0.182792:0.490078:0.182792:0.490078:0.166358:0.103205:0.166358:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 tiene ecuación::@0.103205:0.199433:0.213649:0.199433:0.213649:0.183000:0.103205:0.183000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a. = :@0.104633:0.237803:0.164359:0.237803:0.164359:0.221369:0.104633:0.221369:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x :@0.138792:0.237803:0.149486:0.237803:0.149486:0.221397:0.138792:0.221397:0.000000:0.000000 2:@0.171543:0.230484:0.180526:0.230484:0.180526:0.214051:0.171543:0.214051:0.000000 3:@0.171543:0.248028:0.180526:0.248028:0.180526:0.231594:0.171543:0.231594:0.000000 b. = 4:@0.104633:0.268739:0.173268:0.268739:0.173268:0.252305:0.104633:0.252305:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x :@0.138792:0.268739:0.149486:0.268739:0.149486:0.252333:0.138792:0.252333:0.000000:0.000000 c. :@0.104633:0.299677:0.138865:0.299677:0.138865:0.283243:0.104633:0.283243:0.000000:0.000000:0.000000:0.000000:0.000000 x :@0.138792:0.299677:0.149486:0.299677:0.149486:0.283270:0.138792:0.283270:0.000000:0.000000 5:@0.149431:0.299122:0.164764:0.299122:0.164764:0.285406:0.149431:0.285406:0.000000 2:@0.164672:0.299677:0.177612:0.299677:0.177612:0.283243:0.164672:0.283243:0.000000:0.000000 d. :@0.104633:0.330613:0.138865:0.330613:0.138865:0.314179:0.104633:0.314179:0.000000:0.000000:0.000000:0.000000:0.000000 x :@0.138792:0.330613:0.149486:0.330613:0.149486:0.314207:0.138792:0.314207:0.000000:0.000000 5:@0.149431:0.330058:0.164764:0.330058:0.164764:0.316342:0.149431:0.316342:0.000000 3:@0.164672:0.330613:0.177612:0.330613:0.177612:0.314179:0.164672:0.314179:0.000000:0.000000 2. Determina si la función es continua en el punto :@0.073089:0.361550:0.489806:0.361550:0.489806:0.345116:0.073089:0.345116:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 c:@0.478117:0.361550:0.485775:0.361550:0.485775:0.345144:0.478117:0.345144:0.000000 dado. Si la función no es continua, determina si la :@0.103217:0.378192:0.489719:0.378192:0.489719:0.361758:0.103217:0.361758:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 discontinuidad es removible o no removible.:@0.103217:0.394834:0.426691:0.394834:0.426691:0.378400:0.103217:0.378400:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 f x:@0.103217:0.434982:0.120096:0.434982:0.120096:0.418576:0.103217:0.418576:0.000000:0.000000:0.000000 ( )= :@0.107837:0.434982:0.139755:0.434982:0.139755:0.418548:0.107837:0.418548:0.000000:0.000000:0.000000:0.000000:0.000000 sen x:@0.149505:0.425877:0.183632:0.425877:0.183632:0.409471:0.149505:0.409471:0.000000:0.000000:0.000000:0.000000:0.000000 7:@0.158395:0.440161:0.167378:0.440161:0.167378:0.423728:0.158395:0.423728:0.000000 x:@0.167304:0.440161:0.174759:0.440161:0.174759:0.423755:0.167304:0.423755:0.000000 ; 0:@0.193424:0.434975:0.240215:0.434975:0.240215:0.418541:0.193424:0.418541:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 c:@0.200493:0.434975:0.208150:0.434975:0.208150:0.418569:0.200493:0.418569:0.000000 5:@0.212034:0.434420:0.227367:0.434420:0.227367:0.420704:0.212034:0.420704:0.000000 a. Discontinua; no removible:@0.104633:0.465920:0.326091:0.465920:0.326091:0.449486:0.104633:0.449486:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 b. Discontinua; removible, definir (0) :@0.104633:0.504280:0.405770:0.504280:0.405770:0.487847:0.104633:0.487847:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 f:@0.359439:0.504280:0.364133:0.504280:0.364133:0.487874:0.359439:0.487874:0.000000 5:@0.386498:0.503726:0.401831:0.503726:0.401831:0.490010:0.386498:0.490010:0.000000 1:@0.412984:0.496963:0.421967:0.496963:0.421967:0.480529:0.412984:0.480529:0.000000 7:@0.412984:0.514506:0.421967:0.514506:0.421967:0.498072:0.412984:0.498072:0.000000 c. Continua:@0.104633:0.535218:0.201884:0.535218:0.201884:0.518784:0.104633:0.518784:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 d. Discontinua; removible, definir (0) = 1:@0.104633:0.566155:0.410372:0.566155:0.410372:0.549721:0.104633:0.549721:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 f:@0.359439:0.566155:0.364133:0.566155:0.364133:0.549749:0.359439:0.549749:0.000000 Justifica tu respuesta:@0.103210:0.597095:0.253737:0.597095:0.253737:0.580661:0.103210:0.580661:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 3. La recta se denomina asíntota oblicua a la :@0.073089:0.632820:0.489927:0.632820:0.489927:0.616386:0.073089:0.616386:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 y:@0.163243:0.632820:0.170716:0.632820:0.170716:0.616414:0.163243:0.616414:0.000000 5:@0.174287:0.632265:0.189620:0.632265:0.189620:0.618549:0.174287:0.618549:0.000000 ax:@0.193173:0.632820:0.209813:0.632820:0.209813:0.616414:0.193173:0.616414:0.000000:0.000000 1:@0.213402:0.632265:0.228736:0.632265:0.228736:0.618549:0.213402:0.618549:0.000000 b:@0.232288:0.632820:0.241547:0.632820:0.241547:0.616414:0.232288:0.616414:0.000000 gráfica de ( ) si :@0.103180:0.649461:0.269802:0.649461:0.269802:0.633028:0.103180:0.633028:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 y:@0.187632:0.649461:0.195106:0.649461:0.195106:0.633055:0.187632:0.633055:0.000000 5:@0.202045:0.648907:0.217378:0.648907:0.217378:0.635191:0.202045:0.635191:0.000000 f x:@0.224447:0.649461:0.242136:0.649461:0.242136:0.633055:0.224447:0.633055:0.000000:0.000000:0.000000 lim f x:@0.272416:0.649461:0.324380:0.649461:0.324380:0.633055:0.272416:0.633055:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ( ) ( ):@0.295536:0.649461:0.425012:0.649461:0.425012:0.633028:0.295536:0.633028:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 3:@0.302181:0.650044:0.306267:0.650044:0.306267:0.632390:0.302181:0.632390:0.000000 2:@0.336565:0.648907:0.351899:0.648907:0.351899:0.635191:0.336565:0.635191:0.000000 ax:@0.364213:0.649461:0.381231:0.649461:0.381231:0.633055:0.364213:0.633055:0.000000:0.000000 1:@0.388179:0.648907:0.403513:0.648907:0.403513:0.635191:0.388179:0.635191:0.000000 b:@0.410581:0.649461:0.419840:0.649461:0.419840:0.633055:0.410581:0.633055:0.000000 4 :@0.425380:0.650044:0.434492:0.650044:0.434492:0.632390:0.425380:0.632390:0.000000:0.000000 5:@0.437474:0.648907:0.452807:0.648907:0.452807:0.635191:0.437474:0.635191:0.000000 0 o :@0.453231:0.649461:0.489695:0.649461:0.489695:0.633028:0.453231:0.633028:0.000000:0.000000:0.000000:0.000000:0.000000 lim f:@0.103106:0.670888:0.133791:0.670888:0.133791:0.654482:0.103106:0.654482:0.000000:0.000000:0.000000:0.000000:0.000000 3:@0.125103:0.671470:0.129189:0.671470:0.129189:0.653816:0.125103:0.653816:0.000000 (x) ( ) 0.:@0.133717:0.670888:0.272048:0.670888:0.272048:0.654454:0.133717:0.654454:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 2:@0.155070:0.670333:0.170403:0.670333:0.170403:0.656617:0.155070:0.656617:0.000000 ax:@0.179055:0.670888:0.195695:0.670888:0.195695:0.654482:0.179055:0.654482:0.000000:0.000000 1:@0.199597:0.670333:0.214930:0.670333:0.214930:0.656617:0.199597:0.656617:0.000000 b:@0.218796:0.670888:0.228055:0.670888:0.228055:0.654482:0.218796:0.654482:0.000000 4:@0.232785:0.671470:0.236872:0.671470:0.236872:0.653816:0.232785:0.653816:0.000000 5:@0.240737:0.670333:0.256071:0.670333:0.256071:0.656617:0.240737:0.656617:0.000000 Halla la asíntota oblicua para :@0.103106:0.701828:0.314193:0.701828:0.314193:0.685394:0.103106:0.685394:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 f:@0.103106:0.736304:0.107800:0.736304:0.107800:0.719898:0.103106:0.719898:0.000000 (x) :@0.107726:0.736304:0.148351:0.736304:0.148351:0.719870:0.107726:0.719870:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 5:@0.129079:0.735749:0.144412:0.735749:0.144412:0.722034:0.129079:0.722034:0.000000 x:@0.155720:0.731087:0.163174:0.731087:0.163174:0.714681:0.155720:0.714681:0.000000 3:@0.163109:0.725023:0.168346:0.725023:0.168346:0.715442:0.163109:0.715442:0.000000 9 7x 1:@0.168298:0.731087:0.284912:0.731087:0.284912:0.714653:0.168298:0.714653:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 2:@0.172256:0.730532:0.187589:0.730532:0.187589:0.716817:0.172256:0.716817:0.000000 x:@0.200345:0.731087:0.207800:0.731087:0.207800:0.714681:0.200345:0.714681:0.000000 2:@0.207732:0.725023:0.212969:0.725023:0.212969:0.715442:0.207732:0.715442:0.000000 1:@0.216878:0.730532:0.232212:0.730532:0.232212:0.716817:0.216878:0.716817:0.000000 2:@0.256730:0.730532:0.272063:0.730532:0.272063:0.716817:0.256730:0.716817:0.000000 x:@0.195913:0.745066:0.203368:0.745066:0.203368:0.728660:0.195913:0.728660:0.000000 2 :@0.203311:0.738999:0.210855:0.738999:0.210855:0.729418:0.203311:0.729418:0.000000:0.000000 1:@0.210804:0.744508:0.226137:0.744508:0.226137:0.730792:0.210804:0.730792:0.000000 :@0.226045:0.738999:0.228395:0.738999:0.228395:0.729418:0.226045:0.729418:0.000000 6:@0.228348:0.745062:0.237331:0.745062:0.237331:0.728629:0.228348:0.728629:0.000000 x:@0.237257:0.745062:0.244712:0.745062:0.244712:0.728656:0.237257:0.728656:0.000000 a. 9:@0.104633:0.767240:0.208868:0.767240:0.208868:0.750806:0.104633:0.750806:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 y:@0.138792:0.767240:0.146265:0.767240:0.146265:0.750834:0.138792:0.750834:0.000000 5 2:@0.150149:0.766686:0.196020:0.766686:0.196020:0.752970:0.150149:0.752970:0.000000:0.000000:0.000000 x:@0.169348:0.767240:0.176803:0.767240:0.176803:0.750834:0.169348:0.750834:0.000000 b. = 16 :@0.104633:0.798178:0.217446:0.798178:0.217446:0.781744:0.104633:0.781744:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 y:@0.138792:0.798178:0.146265:0.798178:0.146265:0.781772:0.138792:0.781772:0.000000 x:@0.164985:0.798178:0.172440:0.798178:0.172440:0.781772:0.164985:0.781772:0.000000 1:@0.176324:0.797623:0.191657:0.797623:0.191657:0.783907:0.176324:0.783907:0.000000 c. = :@0.104633:0.829114:0.165077:0.829114:0.165077:0.812680:0.104633:0.812680:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 y:@0.138792:0.829114:0.146265:0.829114:0.146265:0.812708:0.138792:0.812708:0.000000 x:@0.164985:0.829114:0.172440:0.829114:0.172440:0.812708:0.164985:0.812708:0.000000 2 :@0.172371:0.823050:0.179916:0.823050:0.179916:0.813469:0.172371:0.813469:0.000000:0.000000 2:@0.179865:0.828559:0.195198:0.828559:0.195198:0.814843:0.179865:0.814843:0.000000 9 7 :@0.195106:0.829114:0.247162:0.829114:0.247162:0.812680:0.195106:0.812680:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x +:@0.207954:0.829114:0.230264:0.829114:0.230264:0.812708:0.207954:0.812708:0.000000:0.000000:0.000000 d. y = 15 :@0.104633:0.860051:0.218053:0.860051:0.218053:0.843617:0.104633:0.843617:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.165592:0.860051:0.173047:0.860051:0.173047:0.843645:0.165592:0.843645:0.000000 2:@0.176931:0.859497:0.192265:0.859497:0.192265:0.845781:0.176931:0.845781:0.000000 x:@0.273737:0.655563:0.277803:0.655563:0.277803:0.646615:0.273737:0.646615:0.000000 →:@0.277763:0.655337:0.287673:0.655337:0.287673:0.646070:0.277763:0.646070:0.000000 `:@0.287623:0.655261:0.294319:0.655261:0.294319:0.647780:0.287623:0.647780:0.000000 x:@0.099176:0.677137:0.103242:0.677137:0.103242:0.668189:0.099176:0.668189:0.000000 →:@0.103202:0.676910:0.113112:0.676910:0.113112:0.667644:0.103202:0.667644:0.000000 2`:@0.113062:0.676835:0.128072:0.676835:0.128072:0.669353:0.113062:0.669353:0.000000:0.000000 4. Determina si la función es continua en el punto :@0.514231:0.136836:0.930948:0.136836:0.930948:0.120402:0.514231:0.120402:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 c:@0.919259:0.136836:0.926917:0.136836:0.926917:0.120430:0.919259:0.120430:0.000000 dado. Si la función no es continua, determina si la :@0.544359:0.153478:0.930861:0.153478:0.930861:0.137044:0.544359:0.137044:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 discontinuidad es removible o no removible.:@0.544359:0.170120:0.867833:0.170120:0.867833:0.153686:0.544359:0.153686:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 f x:@0.544359:0.204596:0.561238:0.204596:0.561238:0.188190:0.544359:0.188190:0.000000:0.000000:0.000000 ( ) :@0.548979:0.204596:0.570000:0.204596:0.570000:0.188162:0.548979:0.188162:0.000000:0.000000:0.000000:0.000000 5 :@0.569908:0.204041:0.589751:0.204041:0.589751:0.190326:0.569908:0.190326:0.000000:0.000000 49 :@0.592035:0.199377:0.633065:0.199377:0.633065:0.182943:0.592035:0.182943:0.000000:0.000000:0.000000:0.000000:0.000000 2:@0.613792:0.198822:0.629126:0.198822:0.629126:0.185106:0.613792:0.185106:0.000000 x:@0.632991:0.199377:0.640446:0.199377:0.640446:0.182971:0.632991:0.182971:0.000000 7 :@0.592053:0.213356:0.628112:0.213352:0.628112:0.196918:0.592053:0.196922:0.000000:0.000000:0.000000:0.000000:0.000000 2:@0.604902:0.212801:0.620235:0.212801:0.620235:0.199086:0.604902:0.199086:0.000000 x:@0.633204:0.213352:0.640659:0.213352:0.640659:0.196946:0.633204:0.196946:0.000000 ; 49 :@0.647916:0.204592:0.707648:0.204592:0.707648:0.188159:0.647916:0.188159:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 c:@0.654984:0.204592:0.662642:0.204592:0.662642:0.188186:0.654984:0.188186:0.000000 5:@0.666526:0.204038:0.681859:0.204038:0.681859:0.190322:0.666526:0.190322:0.000000 a. Discontinua; removible, definir (49) 14:@0.545774:0.235530:0.873639:0.235530:0.873639:0.219096:0.545774:0.219096:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 f:@0.800581:0.235530:0.805275:0.235530:0.805275:0.219124:0.800581:0.219124:0.000000 5:@0.836549:0.234975:0.851882:0.234975:0.851882:0.221259:0.836549:0.221259:0.000000 b. Discontinua; removible, definir (49) 7:@0.545774:0.266466:0.864730:0.266466:0.864730:0.250032:0.545774:0.250032:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 f:@0.800581:0.266466:0.805275:0.266466:0.805275:0.250060:0.800581:0.250060:0.000000 5:@0.836549:0.265911:0.851882:0.265911:0.851882:0.252196:0.836549:0.252196:0.000000 c. Continua:@0.545774:0.297403:0.643026:0.297403:0.643026:0.280970:0.545774:0.280970:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 d. Discontinua; no removible:@0.545774:0.328341:0.767232:0.328341:0.767232:0.311907:0.545774:0.311907:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 5. Halla el límite indicado o indica que no existe: :@0.514231:0.359277:0.930948:0.359277:0.930948:0.342843:0.514231:0.342843:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 lim :@0.544359:0.379455:0.569650:0.379455:0.569650:0.363049:0.544359:0.363049:0.000000:0.000000:0.000000:0.000000 x:@0.572440:0.374238:0.579895:0.374238:0.579895:0.357832:0.572440:0.357832:0.000000 2:@0.579828:0.368174:0.585065:0.368174:0.585065:0.358593:0.579828:0.358593:0.000000 9 18:@0.585019:0.374238:0.665495:0.374238:0.665495:0.357804:0.585019:0.357804:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 1:@0.588976:0.373684:0.604309:0.373684:0.604309:0.359968:0.588976:0.359968:0.000000 x:@0.617066:0.374238:0.624520:0.374238:0.624520:0.357832:0.617066:0.357832:0.000000 1:@0.628404:0.373684:0.643738:0.373684:0.643738:0.359968:0.628404:0.359968:0.000000 x:@0.600849:0.388217:0.608304:0.388217:0.608304:0.371811:0.600849:0.371811:0.000000 :@0.608238:0.382150:0.610589:0.382150:0.610589:0.372569:0.608238:0.372569:0.000000 1:@0.610541:0.387659:0.625874:0.387659:0.625874:0.373943:0.610541:0.373943:0.000000 :@0.625782:0.382150:0.628132:0.382150:0.628132:0.372569:0.625782:0.372569:0.000000 6:@0.628086:0.388214:0.637069:0.388214:0.637069:0.371780:0.628086:0.371780:0.000000 a. 3:@0.545774:0.410391:0.604157:0.410391:0.604157:0.393958:0.545774:0.393958:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 2:@0.579933:0.409837:0.595266:0.409837:0.595266:0.396121:0.579933:0.396121:0.000000 b. 9:@0.545774:0.441329:0.588916:0.441329:0.588916:0.424895:0.545774:0.424895:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 c. 108:@0.545774:0.472265:0.602776:0.472265:0.602776:0.455831:0.545774:0.455831:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 d. No existe:@0.545774:0.503202:0.642989:0.503202:0.642989:0.486769:0.545774:0.486769:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 6. La solución de la inecuación |3 1| 2 corresponde :@0.514231:0.534140:0.930913:0.534140:0.930913:0.517706:0.514231:0.517706:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.759815:0.534140:0.767270:0.534140:0.767270:0.517734:0.759815:0.517734:0.000000 2:@0.770455:0.533585:0.785788:0.533585:0.785788:0.519869:0.770455:0.519869:0.000000 ,:@0.804784:0.533585:0.820118:0.533585:0.820118:0.519869:0.804784:0.519869:0.000000 al intervalo::@0.544359:0.550782:0.627526:0.550782:0.627526:0.534348:0.544359:0.534348:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a. :@0.545774:0.595334:0.580007:0.595334:0.580007:0.578900:0.545774:0.578900:0.000000:0.000000:0.000000:0.000000:0.000000 1:@0.579926:0.603012:0.587356:0.603012:0.587356:0.570913:0.579926:0.570913:0.000000 2:@0.587189:0.594779:0.602522:0.594779:0.602522:0.581064:0.587189:0.581064:0.000000 1,:@0.602430:0.595334:0.614542:0.595334:0.614542:0.578900:0.602430:0.578900:0.000000:0.000000 1:@0.621736:0.588017:0.630719:0.588017:0.630719:0.571583:0.621736:0.571583:0.000000 3:@0.621736:0.605560:0.630719:0.605560:0.630719:0.589126:0.621736:0.589126:0.000000 2:@0.637919:0.603012:0.645349:0.603012:0.645349:0.570913:0.637919:0.570913:0.000000 :@0.645349:0.595334:0.649380:0.595334:0.649380:0.578900:0.645349:0.578900:0.000000 b. :@0.545774:0.639887:0.580007:0.639887:0.580007:0.623454:0.545774:0.623454:0.000000:0.000000:0.000000:0.000000:0.000000 1:@0.579926:0.647565:0.587356:0.647565:0.587356:0.615467:0.579926:0.615467:0.000000 2:@0.587189:0.639333:0.602522:0.639333:0.602522:0.625617:0.587189:0.625617:0.000000 ∞,:@0.602430:0.639887:0.618684:0.639887:0.618684:0.623454:0.602430:0.623454:0.000000:0.000000 2:@0.623443:0.632014:0.638776:0.632014:0.638776:0.618298:0.623443:0.618298:0.000000 1:@0.638684:0.632569:0.647667:0.632569:0.647667:0.616135:0.638684:0.616135:0.000000 3:@0.631063:0.650112:0.640046:0.650112:0.640046:0.633678:0.631063:0.633678:0.000000 2:@0.652434:0.647565:0.659864:0.647565:0.659864:0.615467:0.652434:0.615467:0.000000 :@0.659697:0.639887:0.663728:0.639887:0.663728:0.623454:0.659697:0.623454:0.000000 < :@0.663654:0.639749:0.683497:0.639749:0.683497:0.625700:0.663654:0.625700:0.000000:0.000000 (1, ):@0.683405:0.639887:0.721232:0.639887:0.721232:0.623454:0.683405:0.623454:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 `:@0.704169:0.639333:0.716446:0.639333:0.716446:0.625617:0.704169:0.625617:0.000000 c. :@0.545774:0.684440:0.580007:0.684440:0.580007:0.668006:0.545774:0.668006:0.000000:0.000000:0.000000:0.000000:0.000000 1:@0.579926:0.692117:0.587356:0.692117:0.587356:0.660019:0.579926:0.660019:0.000000 2:@0.592037:0.676567:0.607370:0.676567:0.607370:0.662852:0.592037:0.662852:0.000000 1:@0.607278:0.677122:0.616261:0.677122:0.616261:0.660688:0.607278:0.660688:0.000000 3:@0.599657:0.694665:0.608640:0.694665:0.608640:0.678232:0.599657:0.678232:0.000000 ,1:@0.621028:0.684431:0.633140:0.684431:0.633140:0.667997:0.621028:0.667997:0.000000:0.000000 2:@0.633051:0.692117:0.640481:0.692117:0.640481:0.660019:0.633051:0.660019:0.000000 d. :@0.545774:0.728993:0.580007:0.728993:0.580007:0.712559:0.545774:0.712559:0.000000:0.000000:0.000000:0.000000:0.000000 1:@0.579926:0.736671:0.587356:0.736671:0.587356:0.704572:0.579926:0.704572:0.000000 2:@0.587189:0.728438:0.602522:0.728438:0.602522:0.714723:0.587189:0.714723:0.000000 2:@0.607278:0.721120:0.622611:0.721120:0.622611:0.707404:0.607278:0.707404:0.000000 2:@0.622519:0.721674:0.631502:0.721674:0.631502:0.705241:0.622519:0.705241:0.000000 3:@0.614898:0.739218:0.623881:0.739218:0.623881:0.722784:0.614898:0.722784:0.000000 , :@0.636269:0.728983:0.643430:0.728983:0.643430:0.712549:0.636269:0.712549:0.000000:0.000000 1:@0.650622:0.721674:0.659605:0.721674:0.659605:0.705241:0.650622:0.705241:0.000000 3:@0.650622:0.739218:0.659605:0.739218:0.659605:0.722784:0.650622:0.722784:0.000000 2:@0.666805:0.736671:0.674235:0.736671:0.674235:0.704572:0.666805:0.704572:0.000000 7. La gráfica de la función racional ( ) :@0.514231:0.768248:0.821333:0.768248:0.821333:0.751814:0.514231:0.751814:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 f x:@0.776511:0.768248:0.793390:0.768248:0.793390:0.751842:0.776511:0.751842:0.000000:0.000000:0.000000 5:@0.802060:0.767693:0.817393:0.767693:0.817393:0.753977:0.802060:0.753977:0.000000 x:@0.840242:0.760036:0.847697:0.760036:0.847697:0.743630:0.840242:0.743630:0.000000 x:@0.828167:0.777580:0.835622:0.777580:0.835622:0.761174:0.828167:0.761174:0.000000 2:@0.835548:0.777025:0.850881:0.777025:0.850881:0.763309:0.835548:0.763309:0.000000 3:@0.850789:0.777580:0.859772:0.777580:0.859772:0.761146:0.850789:0.761146:0.000000 es::@0.866583:0.768246:0.893347:0.768246:0.893347:0.751813:0.866583:0.751813:0.000000:0.000000:0.000000:0.000000:0.000000 a. :@0.545774:0.799185:0.561218:0.799185:0.561218:0.782751:0.545774:0.782751:0.000000:0.000000:0.000000 10:@0.592919:0.842006:0.605984:0.842006:0.605984:0.830054:0.592919:0.830054:0.000000:0.000000 5:@0.599451:0.871679:0.605984:0.871679:0.605984:0.859727:0.599451:0.859727:0.000000 -5:@0.595462:0.926163:0.605984:0.926163:0.605984:0.914212:0.595462:0.914212:0.000000:0.000000 0:@0.599451:0.906213:0.605984:0.906213:0.605984:0.894262:0.599451:0.894262:0.000000 -5:@0.557148:0.906213:0.567671:0.906213:0.567671:0.894262:0.557148:0.894262:0.000000:0.000000 5:@0.648301:0.906213:0.654834:0.906213:0.654834:0.894262:0.648301:0.894262:0.000000 10:@0.686963:0.906213:0.700029:0.906213:0.700029:0.894262:0.686963:0.894262:0.000000:0.000000 x:@0.539882:0.385387:0.543949:0.385387:0.543949:0.376438:0.539882:0.376438:0.000000 →:@0.543912:0.385160:0.553822:0.385160:0.553822:0.375894:0.543912:0.375894:0.000000 2:@0.553771:0.385084:0.562135:0.385084:0.562135:0.377603:0.553771:0.377603:0.000000 6:@0.562085:0.385387:0.566984:0.385387:0.566984:0.376423:0.562085:0.376423:0.000000 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