L'Hôpital's
Rule
L'Hospital's Rule
A technique
used to evaluate limits of fractions that evaluate to the indeterminate
expressions and .
This is done by finding the limit of the derivatives of the numerator and denominator.
Note: Most limits involving other indeterminate
expressions can be manipulated into fraction form so that l'Hôpital's
rule can be used.
L'Hôpital's Rule:

If f and g are differentiable on an open interval containing a such that g(x) ≠ 0 for all x ≠ a in the interval, and if either
and
or
and
then

Example:


