$(1$ point$)$ Let $\underset{xa}{lim}f(x)=-6,\underset{xa}{lim}g(x)=0,\underset{xa}{lim}h(x)=-6.$

Find following limits exactly if they exist. If not, enter DNE $(\text{'}$does not exist'$)$ as your answer.

$\underset{xa}{lim}f(x)+g(x)$

$\underset{xa}{lim}f(x)-g(x)$

$\underset{xa}{lim}f(x)**h(x)$

$\underset{xa}{lim}\frac{f(x)}{g(x)}$

$\underset{xa}{lim}\frac{f(x)}{h(x)}$

$\underset{xa}{lim}\frac{h(x)}{f(x)}$

$\underset{xa}{lim}\sqrt[\phantom{2}]{g(x)}$

$\underset{xa}{lim}g(x{)}^{-1}$

$\underset{xa}{lim}\frac{1}{g(x)-h(x)}$