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

A

`1/(sqrt2)`

B

`1/(2sqrt2)`

C

`1/(3sqrt2)`

D

`1/(4sqrt2)`

Text Solution

Verified by Experts

The correct Answer is:
D
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