Let $f(x) = \begin{cases} -\frac{2}{x+4}, &\text{if}\ x< -4\\ 2 x+12, &\text{if}\ x> -4 \end{cases}$
Calculate the following limits. If the limit doesn't exist but it makes sense to call it $\infty$ enter Infinity , for $-\infty$ enter -Infinity ; in other cases where the limit does not exist enter DNE .

$\displaystyle{\lim_{x\to -4^-}f(x)=}$
$\displaystyle{\lim_{x\to -4^+}f(x)=}$
$\displaystyle{\lim_{x\to -4}f(x)=}$