Identifier: L’Hospital’s Rule

If the limit problem you are being asked to evaluate results in an indeterminate form, $\frac{0}{0}$ or $\frac{\infty }{\infty }$.

• $\underset{x\to a}{\mathit{lim}}\frac{f\left(x\right)}{g\left(x\right)}=\frac{0}{0}$
• $\underset{x\to a}{\mathit{lim}}\frac{f\left(x\right)}{g\left(x\right)}=\frac{\infty }{\infty }$