Question $2$: Evaluate the following limits:

$f(x)=\{\begin{array}{ccc}{x}^2& 1if& x<mn>2</mn>\\ x-1& if& x>2\end{array}$

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

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

$($C$)\underset{x2}{lim}f(x)$

$($D$)f(2)$