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AP® Calculus AB-BC

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Moderate

The Limit of an Exponential Function

APCALC-8R4G1X

Find the limit of:

$$\lim _{ x\xrightarrow { } \infty }{ \cfrac { 3{ e }^{ x } }{ 9+2{ e }^{ 5x } } } $$

A

$\cfrac{ 1 }{ 3 }$

B

$0$

C

$-\cfrac{3}{2}$

D

The limit does not exist