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AP® Calculus AB-BC

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Difficult

L'Hopital's Rule with Sine and Cosine Functions

APCALC-QGYLUR

Calculate the limit:

$$\lim _{ x\xrightarrow { } \cfrac { \pi }{ 2 } }{ \cfrac { \sin ^{ 2 }{ ( \cos { ( \pi -x ) } ) } }{ \left( \cfrac { \pi }{ 2 } -x \right) ^{ 2 } } } $$

A

$0$

B

$\infty $

C

$1$

D

The limit does not exist.