What are L'HOPITAL'S RULES ? EXPLAIN AND STATE WITH EXAMPLES.

Asked by advait2163 | 23rd May, 2011, 09:18: PM

Expert Answer:

In calculus, l'Hôpital's rule pronounced [lopi?tal] (also called Bernoulli's rule) uses derivatives to help evaluate limits involving indeterminate forms. Application (or repeated application) of the rule often converts an indeterminate form to a determinate form, allowing easy evaluation of the limit.
 
 

In its simplest form, l'Hôpital's rule states that for functions f and g:

If   or   and     exists,

then  

The differentiation of the numerator and denominator often simplifies the quotient and/or converts it to a determinate form, allowing the limit to be evaluated more easily.

 
For more Information try the following link:
 
en.wikipedia.org/wiki/L'Hôpital's_rule
 

Answered by  | 24th May, 2011, 08:36: AM

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