Find the limit$.$ If the limit does not exist, so state, or use the symbol $$ or $-$ where appropriate.

$\underset{x}{lim}\frac{4x-3}{9x+6}$

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

A$.\underset{x}{lim}\frac{4x-3}{9x+6}=$ I$($Simplify your answer.$)$

$q,$ B$.$ The limit does not exist.