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If f(x)={:{(x sin x", for " 0 lt x le pi...

If `f(x)={:{(x sin x", for " 0 lt x le pi/2),(pi/2 sin (pi+x)", for " pi/2 lt x lt pi):}`, then

A

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

B

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

C

f(x) is contiuous at x=0

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
A
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