1.

Which of the following functions is periodic?A. f(x) = x-[x], where [x] denotes the greatest integer less than or equal to the real number xB. `f(x)=sin(1/x) " for "x ne 0, f(0)=0`C. f(x) = x cos xD. None of the above

Answer» Correct Answer - A
Clearly, `f(x)=x-[x]=[x]`
which has period 1.
And `(1)/(x),x cos x` are non-periodic functions.


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