3.4 Cálculo de límites.

Limites para formas indeterminadas.
Forma  indeterminada es  cuando  la  sustitución  directa  conduce  a  una  expresión indefinida [math]\frac{0}{0}[/math], por cuanto no podemos a partir de esa expresión calcular el límite.[br][br] 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0XMb+4M2RppxTflwn7S46T785//fPrb3/52ngKUlpP/o2VeYh3pzf1NXlzYsA87Oan4H19FnYk8h8oOq5IfOXGpX6RfCuynrtJCDO5D06PY3+erMXUmtYWypRz4DQu6u6kt5Nn6RSUt91H/7xRPKj1TTKiIPIZFBaCrwQmRdnmpYOnjWzlIKg/HlMYpx+ZBmlRE0ilNlYgTlf3xKV0VI42SLdeUA/vID+HCPk4Myga33OaxtpImJ1zcVCHNv/71r3fly8sZLb3YvlZ3GbGAJ4JAmUOMqDv5FKWhsudl4Hi4IoxxAc7ThBNiS93EFmxAZOHAMaVAmohsyVdp3ebYqDOlepemTZ7YEBz4TVocl9pMWdiWX1DTtPy/DQKd4hmCSOWJEJWbbwKCE5WFyloSpRAQ4uZhTB5xTEzSLaUTceKk4SQthUgjP0GuLQeMECtOSE6ONISY5SfLkK3x3DAnWuoD0v7222/P4vDrX//6nBV3P2HPdwzqw3bJEAJEvnkrl4sI5c45hz1hY5efcjbUMXggQnmLDZ9iQ9oCh3Vwz/0BS5j2+Srs5DvqTF+9Yx+25RyifpMXAWaUmfIb2icwKJ7pNBMqHpUyKkl0RajcXScLlZ19VMI8ROVKpz7kecQxnIhd6UScyIuTrxQijRD/iHNNOTghuk5G0mdfSUT6bIUvJyMtmVw4SfPvf//7mQVxEA2EO+LFBY5W2JIBwcC+qAtpXtHCTOtOur+v7MSL/YgM9Sb8k6bB/2yHQZ5PMEDE0zDGV7lIRp0p1V/SDlsR9zxEa/kf//jH2UZ+l+Llx/m7DQKd4kmFRKziBO0rTgwi5xWMqz4nGOnkLS/SG5sH6dC6IJ0QiZI9CBVxSif0mDQuKQcnKIw4MaeEPltjXy7ykf5vf/vbczkpKxeglG20+nJfxLFzfJM2eZfsgzM8+nwV5Sv5CftiP93xUh5RBsQo75oTn7rC9twnCCH1ERvHhKE6gxBSzlJLkmPZx+f3v//9+SIwNt8xthlnewKd4olpdDdwfqlrFqZz9SdOSUCoyOzLK3gcOzYPxrFIh5OqK4QdnBylMJRGHD+lHHEMrY8pIY4r2RonZNdJHi1zePzqV7+6d0OGkxP7S2WYYl9fXPLANi40JTGICyL7S6Gv7MSP8uFruJbyIB4tbhhQx0gTQedCQtlpPebCiVATn17S2DBUZ7Cxy09hH3HoWSHclCe3a6wtxquPQK94UnGja00lKDk+xqdiXCeKmB7b1Y0mbhqvK4/oGvWJVIyj5d2usCfS6Np/STliuIIW0pTQZ2t0E7uYRasPIfjd7353L1tOUrZ3jSXei3zhjxD3UosQ4UO8sKHLV31lx6QoH+l0tUyJhx/Jhw9xKTM2pa3wtIgRPx0bTfeX/o86UypLcOjyUwxdpPWNCwsXFcTe0D6BXvGkeAhmdGdL42ghrlT6NHCSEJ/KzRW8LwzlEflTYbtCVNZ0/DSNO5TGJeWIlnnXCVu62GBTn61DdkaecP3hhx/SIt49PsdJulSIYYHcp1wEsS3sz/eHPX1lJ05cPPjuC/RmYNAVsCcNEX+Kr6IspXoXdpbKGa1v7MvrY8wMyO1LbfX/Ngjcq32c7Dg8r2DR5cm7mcQjPp9UKBBSKhWVj1ZBWlGm5hHduDyPFC9pRosntSPiDKVxSTlIO06u/MLBPloXtKTz1tOQrZEmNpfCL3/5yzPvP/7xj/d2wzgY5P67F/HKHyFCabnIG+Gk5UcdyX0eWQ6VnXgxtl0SpUiHb9hSJ0rCBrt8qCjil1qeJV8N1ZngkLcisYcLDBy66izCW2q5p+Xz//oJ3BNPHF+qkJwcbKdipyG6WLQmInBlpdUZlY99nDTRGro0jzgZqKx5NyrtriIctHhTwQ47aV0S8jRi/5RykE60PhC8ECzKij2crKXufMnWYMd3tOxKovCXv/zl7Idf/OIXp//85z/pYXdzSikDtnR1J+8ddMGPaKFHdxQRJU9YxEWW/+FPPUjDUNljnDC/SKdpxP/RAqdeBHvyJA+Oz8sfdvMd8ft8FXWiq86EGEddJE3KS11A+DlfsA2bou6H7dSLSDe2+d0egXviGWM8VID0ikpFpDLkJ0PE54SPyhNxuLJyDOOCiFlUoDiGyjcmj+j6cxyVnQqZt0piPIu8Slf1SINyYGeeRtg0pRy4Oi4ElDP90PIqCSfH5LZysqcBJhyPOFBeAheisJF8eLooD7EfBpSjK//8uKm/I5+0vOSHSITghA152eLY8FO+P+oZ8YZCH/tSq468Upvj/y5fpXUG/pwTKVPKHGnEdwhz1H3KQVlzISe9MReIIQbu35bAPfHkhKWC4HRamVQYnIzQ5RUds9MKnAtSjPtwPCdVhMiDSjUmjzihsAFhTAU30gxBwoa0gsf+oTQuKUekzcUiupqcRNhQ6hpG/CFbicfxsCe9+IbbH/7wh/O2/OLBMXEy5yd55DvXN4KOSGAbwpMKQ/gcX5X8MFR2WrCkWypfyf4QKY7hQ/ql+hHHYt9YX+V1Jvcp+YRv4EB95gJCCA5wKgk58bDX0DYBPdi2/7S+UQKIJy1QQ7sEFM92faflDROoQTxpTdNiplcT48CBlJ4DPYEYhovtfn8ioHh+YuF/EliNwNbimQ5fYAtDYhFi7JrtDEkYygQUzzIXt0pgUQJbiyfjyrQu0/FrxmLZTkuU+wCMXbPfUCageJa5uFUCixLYWjyjcNwAjFYoYhrTzGK/390EFM9uNu6RwGIEEM8ff/xxsfSnJJzO1OibrTAlzSPEVTyP4GXLWB2BWlqegIk5sHTXDeMJKJ7jWRlTArMRqEk8ueuOPU7cn+ZexXMaL2NLYBYCtYgnN4locXJzqBabZgG8QiKK5wqQzUICOYFahIrxzrhRhE3p04C5zf6+T0DxvM/DXxJYhcBW4ok4MjGewOOsiCeByfDYxDP9BLryse+8wT+fEVA8P0PiBgksT2Ar8Yzn8ZmexDoMsfgM8zuxKdaiQDjjWf3labSZg+LZpt+0unECW4knrU7y5tHLEE5QIpSIKftokSqcwxVM8RxmZAwJzE5gK/GcvSAHTlDxPLDzLfp2BBTP7djPlbPiORdJ05HABAKK5wRYlUZVPCt1jGbtm4Di2b5/Fc/2fWgJGiSgeDbotMxkxTMD4k8JrEFA8ZyPMq89YfYAH+ap5q9MSXPigYCuBaA5bsoC0IpnStb/JbASAcVzPOgQR5bLy5+A4tFSWCKazFVlP3NZOSYPxEs/1y4ArXjmhP0tgRUI9IlntKKmfq9gdmcWU22N+J0J/n8H4khcFmdm9Scm78dTUPECwPxtq/F2Ul6FnQbElU9pAejIg4cEmO86JiieYygZRwIzE+gTz5mzajY5WpGIWh6YxI+Y8pRU10pQCGvX46VzLQCteOae8bcEViCgeA5DptVJSzEPiB+iCcNoheZxovWZb4/fCCvH08W/dAFoxTNo+i2BFQmsLZ7kd+1nRTznrBDI0uuZeXSUF9NRnr6bQ+zvCnMsAN2deleubpeABK4mwIldEoarE95RAow9lsQxhI9ue1dAYPv2ky4+6Or2d6Wbblc8Uxr+L4GVCPSJJ/su+axkejGbS+zlmL7AjaD8ZhDxYwETltErdeuJgzh23fhBWOdYALrf+r6SuU8CEriYAMLR1fKMu8JTvy82ZoYDp9oa8fuyZmyTFe7T6UmIKexirJMbQ6UVoErTmiIvxjvJnziklaYfccZ8K55jKBlHAjMT6BPPmbNqOrkPHz6cW4nw4sNYZyzmTMEQWH7zHQGBpWUZAYGNY7hTH8KbLwCNiHbdoY+00m/FM6Xh/xJYiYDiOR9oWvDRlYcr4pi2RmMBaPYx9Sn28bQR2xj3ZFI9LdHYN8Y6xXMMJeNIYGYCiufMQHuSi64+wpm2UBHKENZLFoBWPHugu0sCSxFQPJciu166iud6rM1JAncEEM/b29u73/7THgHFsz2fafEOCNjybN+Jimf7PrQEDRKoRTwZ94sFNxgT5A40d7gNwwQUz2FGxpDA7ARqEE/uUjOPklWGmKbD3Eem9HD3OV+RaHYAO0hQ8dyBEy1CewS2Fk9anAhnaV4jd56ZT2kLtL9eKZ79fNwrgUUIbC2eTN/pEsiYwpMuFrwIhMYTVTwbd6Dmt0lgS/GkRUn+6VM4OcXnz5+f49h9z8l8+q14fmLhfxJYjcCW4sn4Jvlzc6grMP5JnHiUsSvekbcrnkf2vmXfjMCW4hkLAfctiDGmdboZvEoyVjwrcYRmHIvAluLJlCTyp3XZF4jDTSVDmYDiWebiVgksSmBL8UQQyX/o9RPE4WMoE5BMmYtbJbAogRrEs2s90Si44hkkyt+KZ5mLWyWwKIEtxTOWb+treTJdCRv7XmWxKKAGElc8G3CSJu6PwJbiGSuo94150irFRpZsM5QJKJ5lLm6VwKIEthTPWN+SZ9q7QkxV4mkjQ5mA4lnm4lYJLEpgS/Fk4jv5983hjEnyfQK7KKAGElc8G3CSJu6PwJbiCU3GPfteu8t0JvYz9mkoE1A8y1zcKoFFCWwtnvHu89JE+XinOS9OM3QTUDy72bhHAosR2Fo8KRhdcxYHQUCjhclYJ3fYGRc19BNQPPv5uFcCixCoQTwpGC1Q7r4jotjEBHrHOce5XPEcx8lYEpiVQC3iOWuhDpaY4nkwh1vcOggonnX44RorFM9r6HmsBC4koHheCK6iwxTPipyhKcchoHi272vFs30fWoIGCSieDTotM1nxzID4UwJrEEA8b29v18jKPBYioHguBNZkJdBHQPHso9PGPsWzDT9p5c4I2G1v36GKZ/s+tAQNElA8G3RaZrLimQHxpwTWIKB4rkF52TwUz2X5mroEigQUzyKWpjYqnk25S2P3QkDxbN+Timf7PrQEDRJQPBt0Wmay4pkB8acE1iBQk3i+efPm9OzZs9PNzc3pw4cP94rPPhZGfvHixb3t/jidFE9rgQQ2IFCLeMY73LGHD8vTRWCdz9jOknUfP36MXX6fFE8rgQQ2IVCLeLJqPOt3Pnr06E4oEUkWRabF+fr16/PrONhvuE/Alud9Hv6SwCoEahHPKCyCyQry2IVgPn78+G51+Yjj930Ciud9Hv6SwCoEahNPCo1gYhfvan///v0qHFrORPFs2Xva3iyBGsUzxji5cWQYJqB4DjMyhgRmJ1CjeDLOiV19rySeHUTDCSqeDTtP09slUJt48vZMWpxx9/2nn35qF+5KliueK4E2GwmkBGoTz6dPn57vsDNVCdt8g2bqrfL/imeZi1slsCiBrcXz5cuX54nxFJJ3tCOeBLZjW/xmHJQbSYbPCSienzNxiwQWJ7C1eEb3HDuYz0m3nfDu3buzeDJt6dWrV+dJ87FvcSgLZkAZGNPlSSla13PMJlA8F3SYSUugi8DW4klrM4QzfXIIkWGqEvuePHlyJ6pd5Whhe9wIo0x8eFpqjguC4tmC97VxdwQ4ib0ps65buRjAPX0E9RoLFM9r6HmsBC4koHheCO6Kw0I8GdedIyiec1A0DQlMJKB4TgQ2Q3Tmr87JXfGcwSkmIYGpBOY8iafmfcT4cSOMG2VzBcVzLpKmI4EJBBTPCbBmiBpTsLhRNldQPOciaToSmEBA8ZwAqyMqrUkWcWaqFR8EsusuOvthzopRBKZhxXHpd74YdEfW582KZx8d90lgIQKcyLe3twulvu9kmaWA4DGGSUuSqUiIIV1yplnlAoigMj0pnaLE9CyEFD9wHMJLOlOC4jmFlnElMBOBoZYn+y/5zGTeVclcYjfHjAkIHhP4+eRTvUIM86lIvEqE9BHcCIgnz/Jf040fZ3Hk6LcEJDALAU7m/ORPE6YVdMknTWOr/y+xe0yrj6eCogVJlz0PtDDhirCmIR4IiClKpIOQRhc+jTvlf8VzCi3jSmAmAkPiOVM2u0omnnx6/vx5sVx01+HKJw0PHz48b0NwWfBkrsWe7+eS5uj/EpDAYgS2EM8Qljm+FwPTkXB0yRnn7LopFN3zdD1SWon54p4AAARASURBVPeUN8ZH+T8d++zIbtRmxXMUJiNJYF4CnMR93fZ5c2s/tVgqr6vVSQmje56Oecbq+PCm2053nf/HDBMMUVM8hwi5XwILEBgST/Zf8lnA1MlJXmI3x/SF6LLTuiwFuuy0KEknFcZ4JBMRJSC+xGGK07Wh3+JrU/d4CUigSIAT2JZnEU1xY4hnF7MQybTVSULcPIJ1rBzFq5b5nT5pxFgox08NiudUYsaXwAwEFM9pEOPNnqUV7qM1iSCGSJI6oghnbhilgfFPtrMfMWZ/Kd30mNL/imeJitsksDABxXMa4JimhNAhegS2peOcqXCyP0Q1HyeNYxj/pKvP70uC4nkJNY+RwJUEFM/pAOlyR/cdfnz65mt23RyKFild+mvGPhXP6T70CAlcTUDxvBwhU5Wi9dmXCmLLzaPS1CZuMJW296WX71M8cyL+lsAKBBTPFSAvnIXiuTBgk5dAiQDi6cIgJTLtbFM82/GVlu6IgOLZvjMVz/Z9aAkaJKB4Nui0zGTFMwPiTwmsQUDxXIPysnkonsvyNXUJFAkonkUsTW1UPJtyl8buhYDi2b4nFc/2fWgJGiSgeDbotMxkxTMD4k8JrEGgNvFktSIeU3z69Gmx+DziyHuCDJ8IKJ6fWPifBFYjUJN4Ykv6Ka1cxGIa+estVoNVaUaKZ6WO0ax9E6hJPHmEkYWCQ0BLKwzF/n17ZVrpFM9pvIwtgVkI1CSeUaBHjx6dBTRelBbb+eZZcPYbPhFQPD+x8D8JrEagRvGMBYXzJdyAwr5r3za5GtyVMlI8VwJtNhJICdQonrH+Zb6qOqsT5Su0p2U56v+K51E9b7k3JVCjeMa45s3NzR0blm1jXUy67Yb7BBTP+zz8JYFVCCCepbvaq2TekUm8aTId22T6Urw8reOww25WPA/regu+JYEaxTPeex4vR+MuPO8OMpQJKJ5lLm6VwKIEahTPeLMk7/Whm053PX8v0KJQGktc8WzMYZq7DwI1iifDCNjFB+HkBWuGbgKKZzcb90hgMQI1iietzBDP0kT5xWA0mrDi2ajjNLttAnSNa7thBFHEszRJvm3ay1iveC7D1VQl0EuAV+gyxlhT4K56aYJ8TTbWZIviWZM3tOUwBJhLyd3tWgIrJl3zDvNayrGmHYrnmrTNSwL/J8DSb1u28piGhIBzVx1bfIJoetVUPKcz8wgJXE3g3bt3J5Z54wmeLcLDhw/vbg7x/1Z2bFH2ufJUPOciaToSmEgA0dpqLiWT31mfk1anwjnRcf+Prnhexs2jJHA1gVjmjSd6GHP0+fGrka6agOK5Km4zk8DnBBBOxhyZvmRoh4Di2Y6vtFQCEqiIgOJZkTM0RQISaIeA4tmOr7RUAhKoiIDiWZEzNEUCEmiHgOLZjq+0VAISqIiA4lmRMzRFAhJoh4Di2Y6vtFQCEqiIgOJZkTM0RQISaIfA/wB0oEcnWJP10wAAAABJRU5ErkJggg==[/img][br][justify]Técnica de [b]cancelación[/b]. Es cuando la sustitución directa conduce a la forma indeterminada y se  debe  modificar  la  fracción  de  tal  manera  que  el  nuevo  denominador  y/o numerador no tengan límite cero. Una manera de lograrlo es cancelando factores iguales.  Esto  se  realiza  factorizando  las  expresiones  que  son  factorizables dependiendo del tipo de factorización que se presente en el problema a resolver.[br][br]Ejemplos:[br][br][img]data:image/png;base64,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[/img][br][br]Practica con la siguiente aplett, calcula el limite y verifica el resultado.[/justify]

Information: 3.4 Cálculo de límites.