Answer
Determine the limit of the corresponding Taylor series
Work Step by Step
When given a limit in the form $\lim\limits_{x \to a} \dfrac{f(x)}{g(x)}$, where $f$ and $g$ have Taylor series centered in $a$, we can calculate the limit by replacing $f$ and $g$ by their Taylor series $s$ and $t$ and determine the limit of $\dfrac{s}{t}$.
