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If f(x) is continuous at x= pi/4, where...

If `f(x)` is continuous at `x= pi/4`, where `f(x)=(cos x- sin x)/(cos 2x)`, for `x!= pi/4`, then `f(pi/4)=`

A

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

B

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

C

`sqrt(2)`

D

`-sqrt(2)`

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The correct Answer is:
A
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