Let

$h(x)=\{\begin{array}{ccc}x& if& x<mn>0</mn>\\ x^2& if& 02\end{array}$

$($a$)$ Evaluate each limit if it exists. $($If an answer does not exist, enter DNE.$)$

$($i$)\underset{x{0}^{+}}{lim}h(x)$

$($ii$)\underset{x0}{lim}h(x)$

$($iii$)\underset{x1}{lim}h(x)$

$($iv$)\underset{x{2}^{-}}{lim}h(x)$

$($v$)\underset{x{2}^{+}}{lim}h(x)$