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

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