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Let f(x) = (1-tanx)/(4x-pi), x != (pi)/4...

Let `f(x) = (1-tanx)/(4x-pi), x != (pi)/4, x in [0,(pi)/2]`. If f(x) is continuous in `[0,(pi)/2]`, then `f((pi)/(4))` is

A

1

B

`1/2`

C

`-1/2`

D

`-1`

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