Given that find each limit, if it exists. (If an answer does not exist, enter DNE.) \lim _{x \rightarrow 1} f(x)=4 \quad \lim _{x \rightarrow 1} g(x)=-4 \quad \lim _{x

\rightarrow 1} h(x)=0 \text { (a) } \lim _{x \rightarrow 1}[f(x)+5 g(x)] \text { (b) } \lim _{x \rightarrow 1}[g(x)]^{3} \text { (c) } \lim _{x \rightarrow 1} \sqrt{f(x)} \text { (d) } \lim _{x \rightarrow 1} \frac{2 f(x)}{g(x)} \text { (e) } \lim _{x \rightarrow 1} \frac{g(x)}{h(x)} \text { (f) } \lim _{x \rightarrow 1} \frac{g(x) h(x)}{f(x)}