If f (x)= int (1) ^(x) sin ^(2) ((t)/(2...

If `f (x)= int _(1) ^(x) sin ^(2) ((t)/(2)) dt,` then the value of `lim _(x to 0) (f (pi +x ) -f (pi))/(x)` is equal to

A

`1/4`

B

`1/2`

C

`3/4`

D

`1`

Verified by Experts

The correct Answer is:

D

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