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If : f(x) {:(=x.sin x ", .....

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

A

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

B

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

C

f(x) is continuous at x = 0

D

none of these

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The correct Answer is:
a
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