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AP® Calculus AB-BC

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Moderate

Limit as $x$ approaches $2$ using the Cancellation Technique

APCALC-49RDVL

Find the given limit:

$$\lim _{ x\xrightarrow { } 2 }{ \cfrac { { x }^{ 4 }-16 }{ 3{ x }^{ 2 }-5x-2 } } $$

A

$8$

B

${ 1 }/{ 3 }$

C

${ 32 }/{ 7 }$

D

The limit does not exist