If f : R rarr R is a function defined by...

If `f : R rarr R` is a function defined by : `f(x) = [x] c 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:

D

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