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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)=(cos x )/(sqrt(1-sinx))`, for `x!= pi/2`, then `f(pi/2)=`

A

`(1)/(2sqrt(2))`

B

`(1)/(sqrt(2)`

C

`2sqrt(2)`

D

`sqrt(2)`

Text Solution

Verified by Experts

The correct Answer is:
D
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