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If `f : R rarr 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 = 0discontinuous only at non-zero integral values of x

C

continuous only at x = 0

D

None of these

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The correct Answer is:
A
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