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The function f(x)=(tan{pi[x-(pi)/(2)]})/...

The function `f(x)=(tan{pi[x-(pi)/(2)]})/(2+[x]^(2))`, where [x] denotes the greatest integer `el x`, is

A

continuous for all values of x

B

discontinous at `x=pi//2`

C

not differentiable for some values of x

D

discontinuous at `x=-2`

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The correct Answer is:
A
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