# How do I find the limit of a quotient?

If ${\lim}_{x \to a} f \left(x\right)$ exists and ${\lim}_{x \to a} g \left(x\right)$ exists and nonzero, then
${\lim}_{x \to a} \frac{f \left(x\right)}{g \left(x\right)} = \frac{{\lim}_{x \to a} f \left(x\right)}{{\lim}_{x \to a} g \left(x\right)}$.