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La siguiente presentación da una explicación de la ley de lhopital

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Carolina Manrique Torres
Carolina Manrique Torres
Colombia

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La siguiente presentación da una explicación de la ley de lhopital

by Carolina Manrique Torres
1

Ley de L´hopital

Regla de l´hopital

Universidad Manuela Beltran

2

Historia

 (Paris, 1661-2 de febrero de 1704) fue un matemático francés. Logro el más conocido atribuido a su nombre, el descubrimiento de la regla de L´HOPITAL, que se emplea para calcular el valor limite de una fracción donde numerador y denominador tienden a cero 0/0 o ambos tienden a infinito ∞/∞.

3

Definición

Sean f y g dos funciones definidas en el intervalo [a,b], y sean f(c)=g(c)=0, con c perteneciente a (a,b) y g'(x)≠0 si x≠ c . Por lo tanto,

im┬(x→c)  ├ f(x)/├ g(x) =lim┬(x→c)  ├ f´(x)/├ g´(x) 

 

4

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5

Ejemplos