Find the indicated limit$.$ Note that rH$$pital$\text{'}$s rule may not apply or may require more than one application. Use $-$ or $$ wher

$\underset{x}{lim}\frac{4e^{-x}}{ln(13e^{-x})}$

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

A$.\underset{x}{lim}\frac{4e^{-x}}{ln(13e^{-x})}=$

$($Type an exact answer in simplified form.$)$

B$.$ The limit does not exist.