Let

$g(x)=\{\begin{array}{ccc}-x& if& x-1\\ 1-x^2& if& -11\end{array}$

$($a$)$ Evaluate each of the following limits$,$ if it exists. $($IF an answer does not exist, enter DNE.$)$

$(0)\underset{x{1}^{+}}{lim}g(x)$

$$

$($ii$)\underset{x1}{lim}g(x)$

$$

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

$$

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

$$

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

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

$$