If f(x)=[sqrt(2)sinx], where [x] represe...

If `f(x)=[sqrt(2)sinx]`, where `[x]` represents the greatest integer function, then choose the incorrect option.

A

f (x) is periodic

B

Maximum value of f (x) is 1 in the interval `[-2pi, 2pi]`

C

Discontinuous for

D

f (x) is differentible at `x=n pi, n in I`

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The correct Answer is:

D

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