Evaluate the following limit$.$

$\underset{xx}{lim}\frac{co{s}^{2}x+7cosx+6}{cosx+1}$

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

A$.\underset{xx}{lim}\frac{co{s}^{2}x+7cosx+6}{cosx+1}=$ because cosx is continuous for all x $,$ and because the sur

$($Simplify your answer.$)$

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