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If f (x)= {{:((sin {cos x})/(x- (pi)/(2)...

If `f (x)= {{:((sin {cos x})/(x- (pi)/(2)) , x ne (pi)/(2)),(1, x= (pi)/(2)):},` where {k} represents the fractional park of k, then:

A

continuous at `x=pi/2`

B

`lim_(x to pi/2) f(x)` exists, but f is not continous at `x=pi/2`

C

`lim_(x to pi/2) f(x)` does not exist

D

`lim_(x to pi/2) f(x)=1`

Text Solution

Verified by Experts

The correct Answer is:
C
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