Free Version
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.