Chapter 6.8, Problem 1E

1-4 Given that

$\begin{array}{l}\underset{x\to a}{\lim }f\left(x\right)=0\underset{x\to a}{\lim }g\left(x\right)=0\underset{x\to a}{\lim }h\left(x\right)=0\\ \underset{x\to a}{\lim }p\left(x\right)=\infty \underset{x\to a}{\lim }q\left(x\right)=\infty \end{array}$

which of the following limits are indeterminate forms? For those that are not an indeterminate form, evaluate the limit where possible

(a) $\underset{x\to a}{\lim }\frac{f\left(x\right)}{g\left(x\right)}$

(b) $\underset{x\to a}{\lim }\frac{f\left(x\right)}{p\left(x\right)}$

(c) $\underset{x\to a}{\lim }\frac{h\left(x\right)}{p\left(x\right)}$

(d) $\underset{x\to a}{\lim }\frac{p\left(x\right)}{f\left(x\right)}$

(e) $\underset{x\to a}{\lim }\frac{p\left(x\right)}{q\left(x\right)}$