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

If `f:RR rarr RR` 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`.

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