Find each limit for the function $f(x)=\frac{x^2-x-56}{x-8}.$ Use $-$ and $$ when appropriate.

$($A$)\underset{x{8}^{-}}{lim}f(x)$

$($B$)\underset{x{8}^{}}{lim}f(x)$

$($C$)\underset{x8}{lim}f(x)$

$($A$)$ Select the correct choice and, if necessary, fill in the answer box in your choice.

A$.\underset{x{0}^{-}}{lim}f(x)=($Simplify your answer.$)$

B$.$ The limit does not exist and is neither $-$ nor $.$