Regla de l'Hopital
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Topic Notes
¿Recuerdas nuestro capítulo sobre límites? Los límites pueden requerir abundante manipulación algebraica para evitar obtener expresiones racionales de 0/0 ó infinito/infinito. En este caso usaremos la Regla de L'Hopital para evaluar este tipo de límites, como verás, ahora que sabemos sobre derivaciones este proceso es mucho más sencillo.
Nota: La regla de l'Hopital sólo aplica en 2 formas indeterminadas:
Typo 00 (donde, limx →c f(x)=0 and limx →cg(x)=0)
o
Typo ∞∞ (donde, limx →c f(x)=±∞ and limx →cg(x)=±∞)
Por lo tanto, de acuerdo a la regla de l'Hôpital: limx →c g(x)f(x)= limx →c g′(x)f′(x)
Nota: La regla de l'Hopital sólo aplica en 2 formas indeterminadas:
Typo 00 (donde, limx →c f(x)=0 and limx →cg(x)=0)
o
Typo ∞∞ (donde, limx →c f(x)=±∞ and limx →cg(x)=±∞)
Por lo tanto, de acuerdo a la regla de l'Hôpital: limx →c g(x)f(x)= limx →c g′(x)f′(x)
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