Chapter 8.7, Problem 63E

WRITING ABOUT CONCEPTS

Finding Functions Find differentiable functions/and g that satisfy the specified condition such that

$\underset{x\to 5}{\lim }f(x)=0\text{ and }\underset{x\to 5}{\lim }g(x)=0$

Explain how you obtained your answers. (Note: There are many correct answers.)

$\begin{array}{l}\text{(a) }\underset{x\to 5}{\lim }\frac{f(x)}{g(x)}=0\\ \text{(b) }\underset{x\to 5}{\lim }\frac{f(x)}{g(x)}=0\\ \text{(c) }\underset{x\to 5}{\lim }\frac{f(x)}{g(x)}=\infty \end{array}$