Given that
$\lim_{x\to 3} f(x) = 4$
$\lim_{x\to 3} g(x) = -2$
$\lim_{x\to 3} h(x) = 0$,
find each limit, if it exists. (If an answer does not exist, enter DNE.)
(a) $\lim_{x\to 3} [f(x) + 5g(x)]$
DNE
(b) $\lim_{x\to 3} [g(x)]^3$
DNE
(c) $\lim_{x\to 3} \sqrt{f(x)}$
DNE
(d) $\lim_{x\to 3} \frac{2f(x)}{g(x)}$
DNE
(e) $\lim_{x\to 3} \frac{g(x)}{h(x)}$
DNE
(f) $\lim_{x\to 3} \frac{g(x)h(x)}{f(x)}$
