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If f(x) is continuous at x=pi/2, where ...

If `f(x)` is continuous at `x=pi/2`, where `f(x)=(1-sin x)/((pi/2 -x)^(2))`, for `x!= pi/2`, then `f(pi/2)=`

A

`1/2`

B

`(-1)/(2)`

C

`pi/2`

D

`(-pi)/(2)`

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The correct Answer is:
A
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