Chapter 1.2, Problem 35ES

True-False Determine whether the statement is true or false. Explain your answer.

If ${\lim }_{x\to a}f\left(x\right)$ and ${\lim }_{x\to a}g\left(x\right)$ both exist and are equal, then ${\lim }_{x\to a}\left[f\left(x\right)\text{/}g\left(x\right)\right]=1$ .