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The function f(x)=cos(pi/x) is monotonic...

The function `f(x)=cos(pi/x)` is monotonically increasing in the interval K is any positive integer is

A

`(1/(2K+1),1/(2K+2))`

B

`(1/(2K+1),1/(2K))`

C

`(1/(2K),1/(2K+1))`

D

`(1/(2K+2),1/(2K+1))`

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