Sections $11\mathrm{.}1$ and $11\mathrm{.}3)$

Use algebra and the properties of limits as needed to find the given limits$.$ If the limit does nofexist, say so$.$

$\underset{x-7}{lim}\frac{(x7{)}^2(x-6)}{(x-7)(x7{)}^2}$

Select the correct choice and, if necessary, fill in the answer box to complete your choice.

A$.\underset{x-7}{lim}\frac{(x7{)}^2(x-6)}{(x-7)(x7{)}^2}=($Type an integer or a simplified fraction.$)$

B$.$ The limit does not exist