# L'Hopital's Rule

Given a ratio of two functions \(f\) and \(g\)

\[
h(x) = \frac{f(x)}{g(x)}
\]

and a value \(c\) at which they are both zero, then
\[
h(c) = \frac{f'(c)}{g'(c)}
\]

where the dash represents the derivative.
\[
h(x) = \frac{f(x)}{g(x)}
\]

and a value \(c\) at which they are both zero, then
\[
h(c) = \frac{f'(c)}{g'(c)}
\]

where the dash represents the derivative.