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If `f:""RvecR` is a function defined by `f(x)""=""[x]cos((2x-1)/2)pi` where [x] denotes the greatest integer function, then f is (1) continuous for every real x (2) discontinuous only at `x""=""0` (3) discontinuous only at non-zero integral values of x (4) continuous only at `x""=""0`

A

discontinuous only at x=0

B

discontinuous only at non-zero integral value of x

C

continuous only at x=0

D

continuous for every real x.

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The correct Answer is:
D
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