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

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

B

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

C

(c) f(x) is continuous at `x = pi/2`

D

(d) f(x) is discontinuous at `x = pi/2`

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The correct Answer is:

D

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