Even though the limit can be found using the theorem, Limits of Rational Functions at Infinity and Horizontal Asymptotes of Rational Functions, use L$\text{'}$H$$pital$\text{'}$s rule to find the limit$.$

$\underset{x}{lim}\frac{3x+9}{7x+2}$

Apply L$\text{'}$H$$pital$\text{'}$s rule so that the $\underset{x}{lim}\frac{3x+9}{7x+2}$ is not an indeterminate form of the type $\frac{}{}.$

$\underset{x}{lim}\frac{3x+9}{7x+2}=\underset{x}{lim}$

$$

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

A$.\underset{x}{lim}\frac{3x+9}{7x+2}=$

$($Simplify your answer.$)$

B$.$ The limit does not exist.