Determine the following limit$,$ using $$ or $-$ when appropriate, or state that it does not exist.

$\underset{x{2}^{}}{lim}\frac{x^2-5x4}{x-2}$

Simplify the expression inside the limit$,$ if possible. Select the correct choice below and, if necessary, fill in the answer box to complete your choice.

A$.\underset{x{2}^{}}{lim}\frac{x^2-5x4}{x-2}=\underset{x{2}^{}}{lim}$

B$.$ The expression inside the limit cannot be simplified.