If f:RR to RR is a function defined by f...

If `f:RR to RR` is a function defined by `f(x)=[x]cos((2x-1)/(2))pi`, where [x] denotes the greatest integer function, then f is-

A

discontinuous only at non-zero integer values of x

B

continuous only at x = 0

C

continuous for every real x

D

discontinuous only at x = 0

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