Find each limit for the function $f(x)=\frac{x^2-2x-35}{x-7}.$ Use $-$ and $$ when appropriate.

$($A$)\underset{x{7}^{-}}{lim}f(x)$

$($B$)\underset{x{7}^{}}{lim}f(x)$

$($C$)\underset{x7}{lim}f(x)$

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

A$.\underset{x{7}^{-}}{lim}f(x)=($Simplify your answer.$)$

$$

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

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

A$.\underset{x{7}^{}}{lim}f(x)=($Simplify your answer.$)$

$$

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

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

A$.,\underset{x7}{lim}f(x)=($Simplify your answer.$)$

$$

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

Time Remaining: $01$:$43$:$56$