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f(x)=(cosx)/([(2x)/pi]+1/2), where x is ...

`f(x)=(cosx)/([(2x)/pi]+1/2),` where `x` is not an integral multiple of `pi` and `[dot]` denotes the greatest integer function, is an odd function an even function neither odd nor even none of these

A

an odd function

B

even function

C

neither odd nor even

D

none of these

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