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Which of the following functions is periodic?

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a
f(x)=x−[x], where [x] denotes the largest integer less than or equal to the real numb er x
b
f(x)=sin⁡1x for x≠0,f(0)=0
c
f(x)=xcos⁡x
d
None of these

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detailed solution

Correct option is A

fx =x-x=x is periodic function with period 1 since 1 + x =x  and sin1x and x cosx are not periodic functions


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Which of the following functions is not periodic


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