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If f:""RvecR is a function defined by f(...

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 non-zero integral values of x.

B

continous only at x=0.

C

continuous for every real `x`.

D

discontinous only `x=0`.

Text Solution

Verified by Experts

The correct Answer is:
C
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