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If f(x)={:{((sin 2x)/(sqrt(1-cos 2x))", ...

If `f(x)={:{((sin 2x)/(sqrt(1-cos 2x))", for " 0 lt x lt pi/2),((cos x)/(pi-2x)", for " pi/2 lt x lt pi):}`, then

A

f is discontinuous at `x=pi/2`

B

f is continuous at `x=pi/2`

C

`underset(x rarr pi^(-)/2)lim f(x)=1/2`

D

`underset(x rarr pi^(+)/2)lim f(x)=0`

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Verified by Experts

The correct Answer is:
A
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