Chapter 1.R, Problem 13TFQ

Determine whether statement is true or false. If it is true, explain why. If it is false, explain why or given an example that disproves the statement.

If ${{\displaystyle \lim }}_{x\to 5}f\left(x\right)=0$ and ${{\displaystyle \lim }}_{x\to 5}g\left(x\right)=0$, then ${{\displaystyle \lim }}_{x\to 5}\left[f\left(x\right)/g\left(x\right)\right]$ does not exist.