90:@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 Observemos que a medida que elegimos valores menores de (la distancia entre la función y el límite), siempre :@0.073089:0.140040:0.931145:0.140040:0.931145:0.124327:0.073089:0.124327:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ε :@0.544646:0.140622:0.558617:0.140622:0.558617:0.122968:0.544646:0.122968:0.000000:0.000000 podemos hallar lo suficientemente pequeño de manera que si hemos elegido un valor de dentro de de , entonces :@0.073107:0.156682:0.930977:0.156682:0.930977:0.140969:0.073107:0.140969:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 δ:@0.187803:0.157264:0.197006:0.157264:0.197006:0.139610:0.187803:0.139610:0.000000 x:@0.724043:0.156682:0.731498:0.156682:0.731498:0.140276:0.724043:0.140276:0.000000 δ:@0.809416:0.157264:0.818619:0.157264:0.818619:0.139610:0.809416:0.139610:0.000000 a:@0.843635:0.156682:0.852894:0.156682:0.852894:0.140276:0.843635:0.140276:0.000000 el valor de :@0.073107:0.173323:0.151964:0.173323:0.151964:0.157611:0.073107:0.157611:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 f x:@0.151798:0.173323:0.172120:0.173323:0.172120:0.156917:0.151798:0.156917:0.000000:0.000000:0.000000 ( ):@0.157523:0.173906:0.179280:0.173906:0.179280:0.156252:0.157523:0.156252:0.000000:0.000000:0.000000 está dentro de del límite .:@0.180293:0.173323:0.389528:0.173323:0.389528:0.157611:0.180293:0.157611:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ε:@0.293424:0.173906:0.302627:0.173906:0.302627:0.156252:0.293424:0.156252:0.000000 L:@0.377674:0.173323:0.385294:0.173323:0.385294:0.156917:0.377674:0.156917:0.000000 Comprobar que lim 2:@0.386528:0.201934:0.548565:0.200423:0.548565:0.184710:0.386528:0.186221:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.508130:0.207554:0.513552:0.207554:0.513552:0.195622:0.508130:0.195622:0.000000 1:@0.524301:0.207554:0.530834:0.207554:0.530834:0.196127:0.524301:0.196127:0.000000 (:@0.532441:0.201006:0.538570:0.201006:0.538570:0.183351:0.532441:0.183351:0.000000 x:@0.549596:0.200423:0.557051:0.200423:0.557051:0.184017:0.549596:0.184017:0.000000 – )=:@0.558082:0.201006:0.600345:0.202517:0.600345:0.184863:0.558082:0.183351:0.000000:0.000000:0.000000:0.000000 1:@0.568298:0.200423:0.577281:0.200423:0.577281:0.184710:0.568298:0.184710:0.000000 3.:@0.600253:0.201935:0.613469:0.201935:0.613469:0.186222:0.600253:0.186222:0.000000:0.000000 Análisis:@0.073106:0.229297:0.130423:0.229297:0.130423:0.212627:0.073106:0.212627:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 En esta parte de la prueba, comenzamos con 2:@0.073106:0.256659:0.434201:0.256659:0.434201:0.240946:0.073106:0.240946:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ∙(:@0.413806:0.257241:0.424077:0.257241:0.424077:0.239587:0.413806:0.239587:0.000000:0.000000 x:@0.435342:0.256659:0.442797:0.256659:0.442797:0.240253:0.435342:0.240253:0.000000 – )– ∙ :@0.443939:0.257241:0.502032:0.257241:0.502032:0.239587:0.443939:0.239587:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 1:@0.454302:0.256659:0.463285:0.256659:0.463285:0.240946:0.454302:0.240946:0.000000 3 y utilizamos nuestra suposición 0:@0.482060:0.256659:0.784620:0.256659:0.784620:0.240946:0.482060:0.240946:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 <∙ – ∙<δ :@0.785927:0.257241:0.873435:0.257241:0.873435:0.239587:0.785927:0.239587:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.807648:0.256659:0.815102:0.256659:0.815102:0.240253:0.807648:0.240253:0.000000 1:@0.826607:0.256659:0.835590:0.256659:0.835590:0.240946:0.826607:0.240946:0.000000 en una :@0.875276:0.256659:0.930939:0.256659:0.930939:0.240946:0.875276:0.240946:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 parte clave de la cadena de desigualdades para conseguir que 2:@0.073106:0.273301:0.568574:0.273301:0.568574:0.257588:0.073106:0.257588:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ∙(:@0.548050:0.273883:0.558377:0.273883:0.558377:0.256229:0.548050:0.256229:0.000000:0.000000 x:@0.569771:0.273301:0.577226:0.273301:0.577226:0.256894:0.569771:0.256894:0.000000 – )– ∙ :@0.578404:0.273883:0.636847:0.273883:0.636847:0.256229:0.578404:0.256229:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 1:@0.588822:0.273301:0.597805:0.273301:0.597805:0.257588:0.588822:0.257588:0.000000 3 sea inferior a . Con la misma facilidad :@0.616764:0.273301:0.930814:0.273301:0.930814:0.257588:0.616764:0.257588:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ε:@0.739596:0.273883:0.748800:0.273883:0.748800:0.256229:0.739596:0.256229:0.000000 podríamos haber manipulado la supuesta desigualdad 0:@0.073069:0.289942:0.479225:0.289942:0.479225:0.274230:0.073069:0.274230:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 <∙ – ∙<δ:@0.480219:0.290525:0.560917:0.290525:0.560917:0.272871:0.480219:0.272871:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.501627:0.289942:0.509082:0.289942:0.509082:0.273536:0.501627:0.273536:0.000000 1:@0.520310:0.289942:0.529293:0.289942:0.529293:0.274230:0.520310:0.274230:0.000000 para llegar a 2:@0.561929:0.289942:0.676349:0.289942:0.676349:0.274230:0.561929:0.274230:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ∙(:@0.656248:0.290525:0.666353:0.290525:0.666353:0.272871:0.656248:0.272871:0.000000:0.000000 x:@0.677361:0.289942:0.684816:0.289942:0.684816:0.273536:0.677361:0.273536:0.000000 – )– ∙< ε:@0.685847:0.290525:0.768133:0.290525:0.768133:0.272871:0.685847:0.272871:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 1 3:@0.696044:0.289942:0.732343:0.289942:0.732343:0.274230:0.696044:0.274230:0.000000:0.000000:0.000000 de la siguiente forma::@0.769029:0.289942:0.926888:0.289942:0.926888:0.274230:0.769029:0.274230:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 0:@0.399706:0.317304:0.408689:0.317304:0.408689:0.301592:0.399706:0.301592:0.000000 <∙ – ∙<δ :@0.410272:0.317887:0.505713:0.317887:0.505713:0.300233:0.410272:0.300233:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.432821:0.317304:0.440276:0.317304:0.440276:0.300898:0.432821:0.300898:0.000000 1:@0.452627:0.317304:0.461610:0.317304:0.461610:0.301592:0.452627:0.301592:0.000000 ∙ – ∙<δ:@0.532498:0.317893:0.600273:0.317893:0.600273:0.300239:0.532498:0.300239:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.538149:0.317311:0.545604:0.317311:0.545604:0.300905:0.538149:0.300905:0.000000 1:@0.557955:0.317311:0.566938:0.317311:0.566938:0.301598:0.557955:0.301598:0.000000 :@0.370643:0.344673:0.509415:0.344673:0.509415:0.328960:0.370643:0.328960:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 –δ< – <δ:@0.534457:0.345256:0.629365:0.345256:0.629365:0.327602:0.534457:0.327602:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.572891:0.344674:0.580346:0.344674:0.580346:0.328268:0.572891:0.328268:0.000000 1:@0.592698:0.344674:0.601680:0.344674:0.601680:0.328961:0.592698:0.328961:0.000000 :@0.365644:0.375475:0.504416:0.375475:0.504416:0.359762:0.365644:0.359762:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 – < – <:@0.529457:0.376063:0.618605:0.376063:0.618605:0.358408:0.529457:0.358408:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ε:@0.542739:0.369835:0.551942:0.369835:0.551942:0.352180:0.542739:0.352180:0.000000 2:@0.543257:0.383071:0.551424:0.383071:0.551424:0.368787:0.543257:0.368787:0.000000 x:@0.572900:0.375480:0.580355:0.375480:0.580355:0.359074:0.572900:0.359074:0.000000 1:@0.592706:0.375480:0.601689:0.375480:0.601689:0.359767:0.592706:0.359767:0.000000 ε:@0.622683:0.369835:0.631887:0.369835:0.631887:0.352180:0.622683:0.352180:0.000000 2:@0.623202:0.383071:0.631368:0.383071:0.631368:0.368787:0.623202:0.368787:0.000000 :@0.365356:0.402843:0.504129:0.402843:0.504129:0.387131:0.365356:0.387131:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 –ε<:@0.529178:0.403426:0.566047:0.403426:0.566047:0.385772:0.529178:0.385772:0.000000:0.000000:0.000000 2:@0.567612:0.402843:0.576595:0.402843:0.576595:0.387131:0.567612:0.387131:0.000000 x:@0.578178:0.402843:0.585633:0.402843:0.585633:0.386437:0.578178:0.386437:0.000000 – <ε:@0.587216:0.403426:0.634651:0.403426:0.634651:0.385772:0.587216:0.385772:0.000000:0.000000:0.000000:0.000000 2:@0.597984:0.402843:0.606967:0.402843:0.606967:0.387131:0.597984:0.387131:0.000000 :@0.365371:0.430205:0.504144:0.430205:0.504144:0.414493:0.365371:0.414493:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 –ε<:@0.529178:0.430789:0.566047:0.430789:0.566047:0.413135:0.529178:0.413135:0.000000:0.000000:0.000000 2:@0.567612:0.430207:0.576595:0.430207:0.576595:0.414494:0.567612:0.414494:0.000000 x:@0.578178:0.430207:0.585633:0.430207:0.585633:0.413800:0.578178:0.413800:0.000000 – <ε:@0.587216:0.430789:0.634651:0.430789:0.634651:0.413135:0.587216:0.413135:0.000000:0.000000:0.000000:0.000000 2:@0.597984:0.430207:0.606967:0.430207:0.606967:0.414494:0.597984:0.414494:0.000000 :@0.392946:0.457568:0.503647:0.457568:0.503647:0.441856:0.392946:0.441856:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ∙:@0.528726:0.458151:0.532812:0.458151:0.532812:0.440497:0.528726:0.440497:0.000000 2:@0.534377:0.457568:0.543360:0.457568:0.543360:0.441856:0.534377:0.441856:0.000000 x:@0.544943:0.457568:0.552398:0.457568:0.552398:0.441162:0.544943:0.441162:0.000000 – ∙<ε:@0.553981:0.458151:0.607067:0.458151:0.607067:0.440497:0.553981:0.440497:0.000000:0.000000:0.000000:0.000000:0.000000 2:@0.564749:0.457568:0.573732:0.457568:0.573732:0.441856:0.564749:0.441856:0.000000 :@0.346715:0.484930:0.502330:0.484930:0.502330:0.469218:0.346715:0.469218:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ∙(:@0.527349:0.485514:0.539129:0.485514:0.539129:0.467860:0.527349:0.467860:0.000000:0.000000 2:@0.540694:0.484932:0.549677:0.484932:0.549677:0.469219:0.540694:0.469219:0.000000 x:@0.551260:0.484932:0.558715:0.484932:0.558715:0.468526:0.551260:0.468526:0.000000 + )– ∙<ε:@0.560298:0.485514:0.648542:0.485514:0.648542:0.467860:0.560298:0.467860:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 1:@0.577195:0.484932:0.586178:0.484932:0.586178:0.469219:0.577195:0.469219:0.000000 3:@0.606224:0.484932:0.615206:0.484932:0.615206:0.469219:0.606224:0.469219:0.000000 .:@0.650107:0.484932:0.653309:0.484932:0.653309:0.469219:0.650107:0.469219:0.000000 Por lo tanto, lim 2:@0.073094:0.512654:0.205909:0.512031:0.205909:0.496319:0.073094:0.496942:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.165475:0.519162:0.170897:0.519162:0.170897:0.507230:0.165475:0.507230:0.000000 1:@0.181647:0.519162:0.188180:0.519162:0.188180:0.507735:0.181647:0.507735:0.000000 (:@0.189785:0.512614:0.195914:0.512614:0.195914:0.494960:0.189785:0.494960:0.000000 x:@0.206940:0.512031:0.214395:0.512031:0.214395:0.495625:0.206940:0.495625:0.000000 – )=:@0.215426:0.512614:0.257689:0.513238:0.257689:0.495584:0.215426:0.494960:0.000000:0.000000:0.000000:0.000000 1:@0.225642:0.512031:0.234625:0.512031:0.234625:0.496319:0.225642:0.496319:0.000000 3. (Una vez completada la prueba, expresamos lo que hemos conseguido).:@0.257597:0.512655:0.798198:0.512655:0.798198:0.496943:0.257597:0.496943:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Después de eliminar todas las observaciones, aquí está la versión final de la prueba::@0.073101:0.540017:0.674652:0.540017:0.674652:0.524305:0.073101:0.524305:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Supongamos que :@0.073101:0.567379:0.207051:0.567379:0.207051:0.551667:0.073101:0.551667:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ε>:@0.206867:0.567962:0.232968:0.567962:0.232968:0.550308:0.206867:0.550308:0.000000:0.000000 0.:@0.234533:0.567379:0.246645:0.567379:0.246645:0.551667:0.234533:0.551667:0.000000:0.000000 Elija :@0.073101:0.598181:0.105387:0.598181:0.105387:0.582468:0.073101:0.582468:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 δ=:@0.105277:0.598763:0.131378:0.598763:0.131378:0.581109:0.105277:0.581109:0.000000:0.000000 ε:@0.135440:0.592540:0.144643:0.592540:0.144643:0.574886:0.135440:0.574886:0.000000 2:@0.135958:0.605777:0.144125:0.605777:0.144125:0.591492:0.135958:0.591492:0.000000 Supongamos que 0:@0.385499:0.625549:0.528358:0.625549:0.528358:0.609836:0.385499:0.609836:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 <∙ – ∙<δ:@0.529830:0.626131:0.614504:0.626131:0.614504:0.608477:0.529830:0.608477:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.552379:0.625549:0.559834:0.625549:0.559834:0.609143:0.552379:0.609143:0.000000 1:@0.572185:0.625549:0.581168:0.625549:0.581168:0.609836:0.572185:0.609836:0.000000 Por lo tanto,:@0.073091:0.652911:0.160080:0.652911:0.160080:0.637198:0.073091:0.637198:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ∙(:@0.424209:0.680855:0.434333:0.680855:0.434333:0.663201:0.424209:0.663201:0.000000:0.000000 2:@0.435346:0.680273:0.444329:0.680273:0.444329:0.664560:0.435346:0.664560:0.000000 x:@0.445359:0.680273:0.452814:0.680273:0.452814:0.663867:0.445359:0.663867:0.000000 + )– ∙=∙:@0.453845:0.680855:0.533107:0.680855:0.533107:0.663201:0.453845:0.663201:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 1 3:@0.470191:0.680273:0.506545:0.680273:0.506545:0.664560:0.470191:0.664560:0.000000:0.000000:0.000000 2:@0.533015:0.680273:0.541997:0.680273:0.541997:0.664560:0.533015:0.664560:0.000000 x:@0.543028:0.680273:0.550483:0.680273:0.550483:0.663867:0.543028:0.663867:0.000000 – ∙:@0.551514:0.680855:0.575830:0.680855:0.575830:0.663201:0.551514:0.663201:0.000000:0.000000:0.000000 2:@0.561730:0.680273:0.570713:0.680273:0.570713:0.664560:0.561730:0.664560:0.000000 :@0.408232:0.707635:0.514565:0.707635:0.514565:0.691922:0.408232:0.691922:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 =∙ ( – )∙:@0.514387:0.708217:0.591826:0.708217:0.591826:0.690563:0.514387:0.690563:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 2:@0.534727:0.707635:0.543709:0.707635:0.543709:0.691922:0.534727:0.691922:0.000000 x:@0.551882:0.707635:0.559337:0.707635:0.559337:0.691229:0.551882:0.691229:0.000000 1:@0.570584:0.707635:0.579567:0.707635:0.579567:0.691922:0.570584:0.691922:0.000000 :@0.415337:0.734997:0.513770:0.734997:0.513770:0.719284:0.415337:0.719284:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 =∙ ∙∙ – ∙:@0.513595:0.735579:0.584739:0.735579:0.584739:0.717925:0.513595:0.717925:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 2:@0.533935:0.734997:0.542918:0.734997:0.542918:0.719284:0.533935:0.719284:0.000000 x:@0.551937:0.734997:0.559392:0.734997:0.559392:0.718591:0.551937:0.718591:0.000000 1:@0.570639:0.734997:0.579622:0.734997:0.579622:0.719284:0.570639:0.719284:0.000000 2:@0.423289:0.762359:0.538979:0.762359:0.538979:0.746646:0.423289:0.746646:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 = ∙ – ∙:@0.513650:0.762941:0.576806:0.762941:0.576806:0.745287:0.513650:0.745287:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.544004:0.762359:0.551459:0.762359:0.551459:0.745953:0.544004:0.745953:0.000000 1:@0.562706:0.762359:0.571688:0.762359:0.571688:0.746646:0.562706:0.746646:0.000000 2.:@0.442893:0.789721:0.546452:0.789721:0.546452:0.774008:0.442893:0.774008:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 < δ:@0.515785:0.790303:0.557220:0.790303:0.557220:0.772649:0.515785:0.772649:0.000000:0.000000:0.000000 2.:@0.437868:0.820522:0.546489:0.820522:0.546489:0.804809:0.437868:0.804809:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 =:@0.516375:0.821104:0.531708:0.821104:0.531708:0.803450:0.516375:0.803450:0.000000 ε:@0.550508:0.814888:0.559712:0.814888:0.559712:0.797233:0.550508:0.797233:0.000000 2:@0.551027:0.828124:0.559193:0.828124:0.559193:0.813840:0.551027:0.813840:0.000000 :@0.459190:0.847896:0.513749:0.847896:0.513749:0.832184:0.459190:0.832184:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 =:@0.515258:0.848479:0.530592:0.848479:0.530592:0.830825:0.515258:0.830825:0.000000 ε:@0.531604:0.845955:0.540808:0.845955:0.540808:0.828301:0.531604:0.828301:0.000000 Por lo tanto,:@0.073079:0.873095:0.160068:0.873095:0.160068:0.857382:0.073079:0.857382:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 lim 2:@0.159925:0.875619:0.205909:0.874996:0.205909:0.859283:0.159925:0.859906:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.165475:0.882127:0.170897:0.882127:0.170897:0.870195:0.165475:0.870195:0.000000 1:@0.181647:0.882127:0.188180:0.882127:0.188180:0.870700:0.181647:0.870700:0.000000 (:@0.189785:0.875579:0.195914:0.875579:0.195914:0.857924:0.189785:0.857924:0.000000 x:@0.206940:0.874996:0.214395:0.874996:0.214395:0.858590:0.206940:0.858590:0.000000 – )=:@0.215426:0.875579:0.257689:0.876203:0.257689:0.858548:0.215426:0.857924:0.000000:0.000000:0.000000:0.000000 1:@0.225642:0.874996:0.234625:0.874996:0.234625:0.859283:0.225642:0.859283:0.000000 3.:@0.257597:0.875620:0.270813:0.875620:0.270813:0.859908:0.257597:0.859908:0.000000:0.000000 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