45:@0.904366:0.963104:0.932133:0.963104:0.932133:0.941283:0.904366:0.941283:0.000000:0.000000 Matemática:@0.795130:0.956142:0.879896:0.956142:0.879896:0.943479:0.795130:0.943479:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 2.º BG:@0.837761:0.967458:0.879897:0.967458:0.879897:0.954794:0.837761:0.954794:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 cción y expresión:@0.117728:0.090870:0.242599:0.090870:0.242599:0.075506:0.117728:0.075506:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 A:@0.096132:0.091656:0.108221:0.091656:0.108221:0.074520:0.096132:0.074520:0.000000 2.:@0.096359:0.565251:0.110585:0.565251:0.110585:0.548350:0.096359:0.548350:0.000000:0.000000 Determina las asíntotas para las siguientes funciones::@0.110585:0.565251:0.513076:0.565251:0.513076:0.548862:0.110585:0.548862:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a):@0.124848:0.598873:0.139756:0.598873:0.139756:0.581972:0.124848:0.581972:0.000000:0.000000 :@0.139756:0.598873:0.143792:0.598873:0.143792:0.582484:0.139756:0.582484:0.000000 fx:@0.155857:0.598575:0.177196:0.598575:0.177196:0.582213:0.155857:0.582213:0.000000:0.000000 x:@0.211140:0.589806:0.218603:0.589806:0.218603:0.573445:0.211140:0.573445:0.000000 x:@0.207999:0.609419:0.215462:0.609419:0.215462:0.593058:0.207999:0.593058:0.000000 ():@0.163080:0.598575:0.183885:0.598575:0.183885:0.582186:0.163080:0.582186:0.000000:0.000000 =:@0.186852:0.599252:0.196969:0.599252:0.196969:0.583679:0.186852:0.583679:0.000000 +:@0.222712:0.590484:0.232829:0.590484:0.232829:0.574911:0.222712:0.574911:0.000000 −:@0.219568:0.610097:0.229685:0.610097:0.229685:0.594524:0.219568:0.594524:0.000000 2:@0.201343:0.589807:0.210336:0.589807:0.210336:0.573419:0.201343:0.573419:0.000000 1 :@0.234273:0.589807:0.244963:0.589814:0.244963:0.573425:0.234273:0.573419:0.000000:0.000000 3:@0.231970:0.609419:0.240962:0.609419:0.240962:0.593030:0.231970:0.593030:0.000000 b):@0.124851:0.750480:0.141068:0.750480:0.141068:0.733580:0.124851:0.733580:0.000000:0.000000 :@0.141068:0.750480:0.145103:0.750480:0.145103:0.734092:0.141068:0.734092:0.000000 :@0.153344:0.750167:0.156812:0.750167:0.156812:0.734803:0.153344:0.734803:0.000000 fx:@0.159073:0.751241:0.178279:0.751241:0.178279:0.736516:0.159073:0.736516:0.000000:0.000000 x:@0.201282:0.743350:0.207999:0.743350:0.207999:0.728624:0.201282:0.728624:0.000000 x:@0.208875:0.761000:0.215592:0.761000:0.215592:0.746275:0.208875:0.746275:0.000000 ():@0.165575:0.751241:0.184299:0.751241:0.184299:0.736491:0.165575:0.736491:0.000000:0.000000 =:@0.186969:0.751851:0.196074:0.751851:0.196074:0.737835:0.186969:0.737835:0.000000 +:@0.218348:0.743959:0.227453:0.743959:0.227453:0.729944:0.218348:0.729944:0.000000 −:@0.219288:0.761610:0.228393:0.761610:0.228393:0.747595:0.219288:0.747595:0.000000 2:@0.209439:0.736460:0.214130:0.736460:0.214130:0.727911:0.209439:0.727911:0.000000 3 :@0.229793:0.743355:0.241718:0.743355:0.241718:0.728605:0.229793:0.728605:0.000000:0.000000 1:@0.229417:0.761000:0.237510:0.761000:0.237510:0.746250:0.229417:0.746250:0.000000 Ejemplos paso a paso:@0.096359:0.116969:0.251252:0.116969:0.251252:0.101605:0.096359:0.101605:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 1. :@0.096359:0.141008:0.114400:0.141008:0.114400:0.124107:0.096359:0.124107:0.000000:0.000000:0.000000 Respondamos las preguntas al problema inicial.:@0.114400:0.141008:0.473236:0.141008:0.473236:0.124619:0.114400:0.124619:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Paso 1.:@0.102121:0.178909:0.154372:0.178909:0.154372:0.163331:0.102121:0.163331:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.154372:0.178909:0.157756:0.178909:0.157756:0.163331:0.154372:0.163331:0.000000 Grafiquemos en Desmos la función :@0.157756:0.178909:0.395771:0.178909:0.395771:0.164010:0.157756:0.164010:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 vt:@0.397967:0.179323:0.416911:0.179323:0.416911:0.162961:0.397967:0.162961:0.000000:0.000000 t:@0.449272:0.190167:0.454653:0.190167:0.454653:0.173806:0.449272:0.173806:0.000000 ():@0.406607:0.179323:0.423376:0.179323:0.423376:0.162934:0.406607:0.162934:0.000000:0.000000 =:@0.426343:0.180000:0.436459:0.180000:0.436459:0.164427:0.426343:0.164427:0.000000 60 :@0.441105:0.170560:0.463826:0.170560:0.463826:0.154172:0.441105:0.154172:0.000000:0.000000:0.000000 .:@0.469480:0.178909:0.472395:0.178909:0.472395:0.164010:0.469480:0.164010:0.000000 Asignemos valores de para obtener valores de : :@0.102117:0.212881:0.435185:0.212881:0.435185:0.197982:0.102117:0.197982:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 t:@0.251513:0.212881:0.256405:0.212881:0.256405:0.198007:0.251513:0.198007:0.000000 v:@0.421565:0.212881:0.428601:0.212881:0.428601:0.198007:0.421565:0.198007:0.000000 t h:@0.441137:0.202447:0.459112:0.202447:0.459112:0.187573:0.441137:0.187573:0.000000:0.000000:0.000000 ( ):@0.446028:0.202447:0.463551:0.202447:0.463551:0.187548:0.446028:0.187548:0.000000:0.000000:0.000000 2:@0.522403:0.202447:0.530578:0.202447:0.530578:0.187548:0.522403:0.187548:0.000000 4:@0.555639:0.202447:0.563814:0.202447:0.563814:0.187548:0.555639:0.187548:0.000000 10:@0.580701:0.202447:0.597051:0.202447:0.597051:0.187548:0.580701:0.187548:0.000000:0.000000 20:@0.613938:0.202447:0.630288:0.202447:0.630288:0.187548:0.613938:0.187548:0.000000:0.000000 v km h:@0.441137:0.222048:0.491126:0.222048:0.491126:0.207174:0.441137:0.207174:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 (:@0.448173:0.222048:0.456281:0.222048:0.456281:0.207149:0.448173:0.207149:0.000000:0.000000 / ):@0.476602:0.222048:0.495565:0.222048:0.495565:0.207149:0.476602:0.207149:0.000000:0.000000:0.000000 30:@0.514227:0.222048:0.530578:0.222048:0.530578:0.207149:0.514227:0.207149:0.000000:0.000000 15:@0.547464:0.222048:0.563814:0.222048:0.563814:0.207149:0.547464:0.207149:0.000000:0.000000 6:@0.588876:0.222048:0.597051:0.222048:0.597051:0.207149:0.588876:0.207149:0.000000 3:@0.622113:0.222048:0.630288:0.222048:0.630288:0.207149:0.622113:0.207149:0.000000 Paso 2.:@0.102118:0.251331:0.154369:0.251331:0.154369:0.235753:0.102118:0.235753:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ¿Qué sucede con la velocidad promedio cuando el tiempo aumenta?:@0.154369:0.251331:0.619161:0.251331:0.619161:0.236432:0.154369:0.236432:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Observemos los valores de la tabla y el gráfico de la función. :@0.102118:0.273547:0.505478:0.273547:0.505478:0.258648:0.102118:0.258648:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Cuando aumenta, la velocidad disminuye.:@0.102118:0.295764:0.389402:0.295764:0.389402:0.280865:0.102118:0.280865:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 t:@0.158725:0.295764:0.163616:0.295764:0.163616:0.280890:0.158725:0.280890:0.000000 Paso 3.:@0.102118:0.320470:0.154369:0.320470:0.154369:0.304892:0.102118:0.304892:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ¿Qué ocurre con la velocidad si el tiempo se acerca a cero?:@0.154369:0.320470:0.548396:0.320470:0.548396:0.305571:0.154369:0.305571:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ·:@0.102286:0.342686:0.106240:0.342686:0.106240:0.327322:0.102286:0.327322:0.000000 Analicemos la gráfica de la función y tomemos valores de cercanos a cero.:@0.106407:0.342686:0.614888:0.342686:0.614888:0.327787:0.106407:0.327787:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 t:@0.499933:0.342686:0.504824:0.342686:0.504824:0.327812:0.499933:0.327812:0.000000 ·:@0.102286:0.364903:0.106240:0.364903:0.106240:0.349538:0.102286:0.349538:0.000000 Miremos qué sucede con los valores de en la curva y respondamos.:@0.106407:0.364903:0.572856:0.364903:0.572856:0.350004:0.106407:0.350004:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 v:@0.380255:0.364903:0.387291:0.364903:0.387291:0.350029:0.380255:0.350029:0.000000 ·:@0.102286:0.387119:0.106240:0.387119:0.106240:0.371755:0.102286:0.371755:0.000000 Para valores de cercanos a cero, la velocidad aumenta considerablemente.:@0.106407:0.387119:0.615256:0.387119:0.615256:0.372220:0.106407:0.372220:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 t:@0.216923:0.387119:0.221814:0.387119:0.221814:0.372245:0.216923:0.372245:0.000000 Paso 4.:@0.102118:0.411435:0.154369:0.411435:0.154369:0.395857:0.102118:0.395857:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ¿Existe algún valor de que no esté permitido en esta función? ¿Por qué?:@0.154369:0.411435:0.643298:0.411435:0.643298:0.396536:0.154369:0.396536:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 t:@0.305005:0.411435:0.309897:0.411435:0.309897:0.396562:0.305005:0.396562:0.000000 ·:@0.102286:0.433652:0.106240:0.433652:0.106240:0.418288:0.102286:0.418288:0.000000 Analizamos la función racional y excluimos el valor de para el que no existe la función.:@0.106407:0.433652:0.693791:0.433652:0.693791:0.418753:0.106407:0.418753:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 t:@0.474688:0.433652:0.479580:0.433652:0.479580:0.418778:0.474688:0.418778:0.000000 ·:@0.102286:0.455868:0.106240:0.455868:0.106240:0.440504:0.102286:0.440504:0.000000 Respondemos la pregunta.:@0.106407:0.455868:0.293329:0.455868:0.293329:0.440969:0.106407:0.440969:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ·:@0.102286:0.478085:0.106240:0.478085:0.106240:0.462721:0.102286:0.462721:0.000000 La variable no puede tomar el valor de cero porque para este valor, la función no está :@0.106407:0.478085:0.692634:0.478085:0.692634:0.463186:0.106407:0.463186:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 t:@0.188561:0.478085:0.193452:0.478085:0.193452:0.463211:0.188561:0.463211:0.000000 definida.:@0.113845:0.493173:0.171306:0.493173:0.171306:0.478274:0.113845:0.478274:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ·:@0.102286:0.515389:0.106240:0.515389:0.106240:0.500025:0.102286:0.500025:0.000000 Por otro lado, tampoco puede tomar un valor negativo, puesto que el tiempo siempre es :@0.106407:0.515389:0.708061:0.515389:0.708061:0.500490:0.106407:0.500490:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 positivo.:@0.113845:0.530477:0.169413:0.530477:0.169413:0.515578:0.113845:0.515578:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Paso 1.:@0.102309:0.631401:0.154560:0.631401:0.154560:0.615824:0.102309:0.615824:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.154560:0.631401:0.157944:0.631401:0.157944:0.615824:0.154560:0.615824:0.000000 Igualamos el denominador a cero y determinamos la asíntota vertical. – 3 = 0; = 3:@0.157944:0.631401:0.706032:0.631401:0.706032:0.616502:0.157944:0.616502:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.613525:0.631401:0.620310:0.631401:0.620310:0.616528:0.613525:0.616528:0.000000 x:@0.674420:0.631401:0.681205:0.631401:0.681205:0.616528:0.674420:0.616528:0.000000 Paso 2.:@0.102309:0.652788:0.154560:0.652788:0.154560:0.637210:0.102309:0.637210:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.154560:0.652788:0.157944:0.652788:0.157944:0.637210:0.154560:0.637210:0.000000 Comparamos los grados del numerador ( ) y del denominador ( ):@0.157944:0.652788:0.588564:0.652788:0.588564:0.637889:0.157944:0.637889:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 n:@0.423570:0.652788:0.432214:0.652788:0.432214:0.637914:0.423570:0.637914:0.000000 m:@0.571041:0.652788:0.584342:0.652788:0.584342:0.637914:0.571041:0.637914:0.000000 n m:@0.102309:0.675005:0.140705:0.675005:0.140705:0.660131:0.102309:0.660131:0.000000:0.000000:0.000000 = , entonces tiene una asíntota horizontal.:@0.110735:0.675005:0.397469:0.675005:0.397469:0.660106:0.110735:0.660106:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Paso 3.:@0.102309:0.697146:0.154560:0.697146:0.154560:0.681568:0.102309:0.681568:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Verificamos los coeficientes de mayor grado del numerador y denominador y y :@0.154560:0.697146:0.693937:0.697146:0.693937:0.682247:0.154560:0.682247:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a b:@0.648990:0.697146:0.679664:0.697146:0.679664:0.682272:0.648990:0.682272:0.000000:0.000000:0.000000 escribimos la ecuación de la asíntota horizontal. = 2/1; = 2:@0.102309:0.712233:0.495186:0.712233:0.495186:0.697334:0.102309:0.697334:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 y:@0.412781:0.712233:0.419583:0.712233:0.419583:0.697359:0.412781:0.697359:0.000000 y:@0.463759:0.712233:0.470560:0.712233:0.470560:0.697359:0.463759:0.697359:0.000000 Paso 1.:@0.102309:0.786435:0.154560:0.786435:0.154560:0.770858:0.102309:0.770858:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.154560:0.786435:0.157944:0.786435:0.157944:0.770858:0.154560:0.770858:0.000000 Igualamos el denominador a cero y determinamos la asíntota vertical. – 1 = 0; = 1:@0.157944:0.786435:0.706032:0.786435:0.706032:0.771536:0.157944:0.771536:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.613525:0.786435:0.620310:0.786435:0.620310:0.771562:0.613525:0.771562:0.000000 x:@0.674420:0.786435:0.681205:0.786435:0.681205:0.771562:0.674420:0.771562:0.000000 Paso 2.:@0.102309:0.807822:0.154560:0.807822:0.154560:0.792244:0.102309:0.792244:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.154560:0.807822:0.157944:0.807822:0.157944:0.792244:0.154560:0.792244:0.000000 Comparamos los grados del numerador ( ) y del denominador ( ); = +1, :@0.157944:0.807822:0.663665:0.807822:0.663665:0.792923:0.157944:0.792923:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 n:@0.423570:0.807822:0.432214:0.807822:0.432214:0.792948:0.423570:0.792948:0.000000 m n m:@0.571041:0.807822:0.632891:0.807822:0.632891:0.792948:0.571041:0.792948:0.000000:0.000000:0.000000:0.000000:0.000000 tiene una asíntota oblicua.:@0.102326:0.822910:0.272262:0.822910:0.272262:0.808011:0.102326:0.808011:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Paso 3.:@0.102326:0.844171:0.154576:0.844171:0.154576:0.828593:0.102326:0.828593:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Dividimos el numerador para el denominador y obtenemos la ecuación de la :@0.154576:0.844171:0.658623:0.844171:0.658623:0.829272:0.154576:0.829272:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 asíntota oblicua. :@0.102326:0.859258:0.211384:0.859258:0.211384:0.844359:0.102326:0.844359:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.107162:0.882474:0.113879:0.882474:0.113879:0.867749:0.107162:0.867749:0.000000 x:@0.114748:0.900121:0.121465:0.900121:0.121465:0.885396:0.114748:0.885396:0.000000 x:@0.165633:0.890360:0.172350:0.890360:0.172350:0.875635:0.165633:0.875635:0.000000 x:@0.208320:0.900121:0.215037:0.900121:0.215037:0.885396:0.208320:0.885396:0.000000 2:@0.115313:0.875580:0.120004:0.875580:0.120004:0.867031:0.115313:0.867031:0.000000 3 :@0.135667:0.882474:0.147591:0.882474:0.147591:0.867724:0.135667:0.867724:0.000000:0.000000 1:@0.135290:0.900121:0.143383:0.900121:0.143383:0.885371:0.135290:0.885371:0.000000 1:@0.186458:0.890360:0.194552:0.890360:0.194552:0.875610:0.186458:0.875610:0.000000 4:@0.216809:0.882469:0.224902:0.882469:0.224902:0.867719:0.216809:0.867719:0.000000 1:@0.228864:0.900121:0.236957:0.900121:0.236957:0.885371:0.228864:0.885371:0.000000 +:@0.124218:0.883084:0.133323:0.883084:0.133323:0.869069:0.124218:0.869069:0.000000 −:@0.125160:0.900731:0.134265:0.900731:0.134265:0.886715:0.125160:0.886715:0.000000 =+ +:@0.152629:0.890970:0.203378:0.890970:0.203378:0.876954:0.152629:0.876954:0.000000:0.000000:0.000000:0.000000 −:@0.218734:0.900731:0.227839:0.900731:0.227839:0.886715:0.218734:0.886715:0.000000 ; la ecuación de la asíntota es = + 1.:@0.237786:0.887274:0.484767:0.887274:0.484767:0.872375:0.237786:0.872375:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 y x:@0.427405:0.887274:0.457443:0.887274:0.457443:0.872400:0.427405:0.872400:0.000000:0.000000:0.000000 Sea la función racional:@0.754296:0.284473:0.903744:0.284473:0.903744:0.269574:0.754296:0.269574:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 fx:@0.756554:0.312525:0.775759:0.312525:0.775759:0.297800:0.756554:0.297800:0.000000:0.000000 Px:@0.797735:0.304639:0.818731:0.304639:0.818731:0.289914:0.797735:0.289914:0.000000:0.000000 Qx:@0.798770:0.322284:0.822354:0.322284:0.822354:0.307559:0.798770:0.307559:0.000000:0.000000 ():@0.763063:0.312525:0.781787:0.312525:0.781787:0.297775:0.763063:0.297775:0.000000:0.000000 () :@0.806027:0.304639:0.828647:0.304639:0.828647:0.289889:0.806027:0.289889:0.000000:0.000000:0.000000 ():@0.809659:0.322289:0.828384:0.322289:0.828384:0.307539:0.809659:0.307539:0.000000:0.000000 =:@0.784447:0.313135:0.793552:0.313135:0.793552:0.299119:0.784447:0.299119:0.000000 Para encontrar una :@0.754293:0.340432:0.877004:0.340432:0.877004:0.325533:0.754293:0.325533:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 asíntota :@0.876468:0.340432:0.933543:0.340432:0.933543:0.325319:0.876468:0.325319:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 vertical:@0.754293:0.355519:0.809006:0.355519:0.809006:0.340407:0.754293:0.340407:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 se hace ( ) = 0, :@0.809006:0.355519:0.925117:0.355519:0.925117:0.340620:0.809006:0.340620:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Q x:@0.866567:0.355519:0.888597:0.355519:0.888597:0.340646:0.866567:0.340646:0.000000:0.000000:0.000000 los valores de que :@0.754293:0.370607:0.888245:0.370607:0.888245:0.355708:0.754293:0.355708:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.848022:0.370607:0.854807:0.370607:0.854807:0.355733:0.848022:0.355733:0.000000 anulan el denominador :@0.754293:0.385695:0.914496:0.385695:0.914496:0.370796:0.754293:0.370796:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 constituyen las asíntotas.:@0.754293:0.400782:0.919836:0.400782:0.919836:0.385883:0.754293:0.385883:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Para determinar las :@0.754293:0.419428:0.885010:0.419428:0.885010:0.404529:0.754293:0.404529:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 asíntotas horizontales:@0.754293:0.434516:0.906637:0.434516:0.906637:0.419403:0.754293:0.419403:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 , :@0.906637:0.434516:0.913221:0.434516:0.913221:0.419617:0.906637:0.419617:0.000000:0.000000 sean el grado del :@0.754293:0.449603:0.884258:0.449603:0.884258:0.434704:0.754293:0.434704:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 n:@0.788920:0.449603:0.797564:0.449603:0.797564:0.434729:0.788920:0.434729:0.000000 numerador y el grado :@0.754293:0.464691:0.919773:0.464691:0.919773:0.449792:0.754293:0.449792:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 m:@0.844236:0.464691:0.857538:0.464691:0.857538:0.449817:0.844236:0.449817:0.000000 del denominador.:@0.754293:0.479779:0.872814:0.479779:0.872814:0.464879:0.754293:0.464879:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Si < , la asíntota :@0.754293:0.498424:0.886687:0.498424:0.886687:0.483525:0.754293:0.483525:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 n:@0.769236:0.498424:0.777880:0.498424:0.777880:0.483550:0.769236:0.483550:0.000000 m:@0.795202:0.498424:0.808503:0.498424:0.808503:0.483550:0.795202:0.483550:0.000000 horizontal es = 0.:@0.754293:0.513512:0.878512:0.513512:0.878512:0.498613:0.754293:0.498613:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 y:@0.843298:0.513512:0.850100:0.513512:0.850100:0.498638:0.843298:0.498638:0.000000 Si = , la asíntota :@0.754293:0.532158:0.890356:0.532158:0.890356:0.517259:0.754293:0.517259:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 n:@0.769236:0.532158:0.777880:0.532158:0.777880:0.517284:0.769236:0.517284:0.000000 m:@0.795202:0.532158:0.808503:0.532158:0.808503:0.517284:0.795202:0.517284:0.000000 es = / .:@0.754293:0.547245:0.821453:0.547245:0.821453:0.532346:0.754293:0.532346:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 y:@0.768666:0.547245:0.778483:0.547245:0.778483:0.532371:0.768666:0.532371:0.000000:0.000000 a b:@0.795805:0.547245:0.818538:0.547245:0.818538:0.532371:0.795805:0.532371:0.000000:0.000000:0.000000 Donde es el coeficiente :@0.754293:0.565891:0.926857:0.565891:0.926857:0.550992:0.754293:0.550992:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a:@0.804030:0.565891:0.812457:0.565891:0.812457:0.551017:0.804030:0.551017:0.000000 de mayor grado del :@0.754293:0.580979:0.888880:0.580979:0.888880:0.566080:0.754293:0.566080:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 numerador, y el del :@0.754293:0.596066:0.898295:0.596066:0.898295:0.581167:0.754293:0.581167:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 b:@0.846396:0.596066:0.854822:0.596066:0.854822:0.581192:0.846396:0.581192:0.000000 denominador.:@0.754293:0.611154:0.848356:0.611154:0.848356:0.596255:0.754293:0.596255:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Si = + 1, existe una :@0.754293:0.629800:0.911665:0.629800:0.911665:0.614901:0.754293:0.614901:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 n:@0.769236:0.629800:0.777880:0.629800:0.777880:0.614926:0.769236:0.614926:0.000000 m:@0.795202:0.629800:0.808503:0.629800:0.808503:0.614926:0.795202:0.614926:0.000000 asíntota oblicua:@0.754293:0.644887:0.865378:0.644887:0.865378:0.629775:0.754293:0.629775:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 que se :@0.865378:0.644887:0.916858:0.644887:0.916858:0.629988:0.865378:0.629988:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 obtiene del cociente (sin :@0.754293:0.659975:0.922653:0.659975:0.922653:0.645076:0.754293:0.645076:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 el residuo) de la división :@0.754293:0.675063:0.918031:0.675063:0.918031:0.660163:0.754293:0.660163:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 de ( ) ÷ ( ):@0.754293:0.690150:0.838959:0.690150:0.838959:0.675251:0.754293:0.675251:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 P x:@0.775200:0.690150:0.794398:0.690150:0.794398:0.675276:0.775200:0.675276:0.000000:0.000000:0.000000 Q x:@0.812490:0.690150:0.834520:0.690150:0.834520:0.675276:0.812490:0.675276:0.000000:0.000000:0.000000 Matemática:@0.775158:0.252035:0.882699:0.252035:0.882699:0.235134:0.775158:0.235134:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 –20:@0.821582:0.182677:0.831882:0.182677:0.831882:0.176588:0.821582:0.176588:0.000000:0.000000:0.000000 –40:@0.821582:0.214333:0.831882:0.214333:0.831882:0.208244:0.821582:0.208244:0.000000:0.000000:0.000000 0:@0.828419:0.154892:0.831882:0.154892:0.831882:0.148802:0.828419:0.148802:0.000000 y:@0.829198:0.082535:0.831802:0.082535:0.831802:0.077557:0.829198:0.077557:0.000000 x:@0.924249:0.153748:0.926854:0.153748:0.926854:0.148771:0.924249:0.148771:0.000000 20:@0.824958:0.119623:0.831883:0.119623:0.831883:0.113533:0.824958:0.113533:0.000000:0.000000 10:@0.915944:0.154734:0.922869:0.154734:0.922869:0.148644:0.915944:0.148644:0.000000:0.000000 40:@0.824958:0.088230:0.831883:0.088230:0.831883:0.082141:0.824958:0.082141:0.000000:0.000000 –10:@0.742854:0.154891:0.753154:0.154891:0.753154:0.148801:0.742854:0.148801:0.000000:0.000000:0.000000 vt:@0.839862:0.140894:0.846603:0.140894:0.846603:0.135416:0.839862:0.135416:0.000000:0.000000 t:@0.858117:0.144752:0.860032:0.144752:0.860032:0.139275:0.858117:0.139275:0.000000 ():@0.842938:0.140894:0.848905:0.140894:0.848905:0.135318:0.842938:0.135318:0.000000:0.000000 =:@0.849960:0.141135:0.853560:0.141135:0.853560:0.135594:0.849960:0.135594:0.000000 60 :@0.855206:0.137774:0.863298:0.137774:0.863298:0.132198:0.855206:0.132198:0.000000:0.000000:0.000000 –5:@0.820339:0.816966:0.827491:0.816966:0.827491:0.810597:0.820339:0.810597:0.000000:0.000000 –10:@0.816717:0.856717:0.827491:0.856717:0.827491:0.850348:0.816717:0.850348:0.000000:0.000000:0.000000 0:@0.823869:0.787902:0.827490:0.787902:0.827490:0.781533:0.823869:0.781533:0.000000 5:@0.871693:0.787902:0.875315:0.787902:0.875315:0.781533:0.871693:0.781533:0.000000 y:@0.824684:0.718237:0.827409:0.718237:0.827409:0.713030:0.824684:0.713030:0.000000 x:@0.924104:0.786710:0.926829:0.786710:0.926829:0.781504:0.924104:0.781504:0.000000 5:@0.823869:0.751012:0.827490:0.751012:0.827490:0.744643:0.823869:0.744643:0.000000 10:@0.915415:0.787737:0.922659:0.787737:0.922659:0.781368:0.915415:0.781368:0.000000:0.000000 –5:@0.782194:0.787901:0.789345:0.787901:0.789345:0.781532:0.782194:0.781532:0.000000:0.000000 y :@0.782406:0.766878:0.786679:0.766878:0.786679:0.761097:0.782406:0.761097:0.000000:0.000000 = 2:@0.786679:0.766878:0.795740:0.766878:0.795740:0.760690:0.786679:0.760690:0.000000:0.000000:0.000000 x :@0.855862:0.746668:0.855862:0.743461:0.848159:0.743461:0.848159:0.746668:0.000000:0.000000 = 3:@0.855862:0.743461:0.855862:0.736662:0.847618:0.736662:0.847618:0.743461:0.000000:0.000000:0.000000 fx:@0.887340:0.749241:0.895282:0.749241:0.895282:0.743512:0.887340:0.743512:0.000000:0.000000 x:@0.907916:0.745978:0.910694:0.745978:0.910694:0.740249:0.907916:0.740249:0.000000 x:@0.906750:0.753277:0.909528:0.753277:0.909528:0.747548:0.906750:0.747548:0.000000 ():@0.890029:0.749241:0.897772:0.749241:0.897772:0.743409:0.890029:0.743409:0.000000:0.000000 =:@0.898869:0.749494:0.902635:0.749494:0.902635:0.743698:0.898869:0.743698:0.000000 +:@0.912216:0.746230:0.915982:0.746230:0.915982:0.740434:0.912216:0.740434:0.000000 −:@0.911050:0.753529:0.914816:0.753529:0.914816:0.747733:0.911050:0.747733:0.000000 2:@0.904273:0.745977:0.907620:0.745977:0.907620:0.740145:0.904273:0.740145:0.000000 1 :@0.916530:0.745977:0.920507:0.745979:0.920507:0.740147:0.916530:0.740145:0.000000:0.000000 3:@0.915672:0.753279:0.919019:0.753279:0.919019:0.747446:0.915672:0.747446:0.000000 –10:@0.818113:0.917146:0.829643:0.917146:0.829643:0.910330:0.818113:0.910330:0.000000:0.000000:0.000000 0:@0.825766:0.886042:0.829643:0.886042:0.829643:0.879226:0.825766:0.879226:0.000000 y:@0.826638:0.839908:0.829553:0.839908:0.829553:0.834336:0.826638:0.834336:0.000000 x:@0.923272:0.884766:0.926188:0.884766:0.926188:0.879194:0.923272:0.879194:0.000000 10:@0.821890:0.846563:0.829642:0.846563:0.829642:0.839747:0.821890:0.839747:0.000000:0.000000 10:@0.875520:0.885866:0.883272:0.885866:0.883272:0.879050:0.875520:0.879050:0.000000:0.000000 –10:@0.779397:0.886042:0.790927:0.886042:0.790927:0.879226:0.779397:0.879226:0.000000:0.000000:0.000000 y:@0.858784:0.865934:0.862117:0.865934:0.862117:0.859566:0.858784:0.859566:0.000000 = + 1:@0.862117:0.865934:0.884738:0.865934:0.884738:0.859118:0.862117:0.859118:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.869823:0.865934:0.873155:0.865934:0.873155:0.859566:0.869823:0.859566:0.000000 fx:@0.844906:0.908439:0.853406:0.908439:0.853406:0.902308:0.844906:0.902308:0.000000:0.000000 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