$(1$ point$)$ Let

$f(x)=\{\begin{array}{cc}x+2,& x-2\\ 2,& x>-2\end{array}$

Sketch the graph of this function for yourself and find following limits if they exist $($if not, enter DNE$).$

$\underset{x-2^{-}}{lim}f(x)=$

$\underset{x-2^{+}}{lim}f(x)=$

$\underset{x-2}{lim}f(x)=$