Answer
a. Cannot be determined
b. $\infty$
c. $\infty$
Work Step by Step
a. $\lim\limits_{x \to a} [f(x)p(x)] = 0*\infty=indeterminate$
b. $\lim\limits_{x \to a} [h(x)p(x)] =$
$\lim\limits_{x \to a} h(x) \times \lim\limits_{x \to a} p(x) = 1 \times \infty = \infty$
c. $\lim\limits_{x \to a} [p(x)q(x)] =$
$\lim\limits_{x \to a} p(x) \times \lim\limits_{x \to a} q(x) = \infty \times \infty = \infty$