Chapter 11.2, Problem 77PE

To determine

Whether the statement, "I am working with functions $f$ and $g$ for which $\underset{x\to 4}{\lim }f\left(x\right)=0$, $\underset{x\to 4}{\lim }g\left(x\right)=0$, and $\underset{x\to 4}{\lim }\frac{g\left(x\right)}{f\left(x\right)}\ne 0$" makes sense or not.