Suppose

$\underset{x4}{lim}f(x)=0,\underset{x}{lim}g(x)=-7,\underset{x}{lim}h(x)=-1$

Find following limits if they exist. Enter DNE y the limit does not exist.

$1.\underset{x0}{lim}f(x)g(x)$

$2.\underset{x-4}{lim}f(x)-g(x)$

$3.\underset{x}{lim}f(x)-h(x)$

$4.\underset{x}{lim}\frac{f(x)}{g(x)}$

$5.\underset{x4}{lim}\frac{f(x)}{h(x)}$

$6.\underset{x4}{lim}\frac{h(x)}{f(x)}$

$2.\underset{x}{lim}(g(x){)}^2$

$8.\underset{x}{lim}\frac{1}{g(x)}$

$9.\underset{x}{lim}\frac{1}{g(x)-h(x)}$