If f: R to R is a function de...

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

A

continuous for every real x

B

Discontinuous only at x=0

C

Discontinuous only at non-zero integral values of x

D

Continuous only at x=0

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The correct Answer is:

A

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