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If f(x) = cos |x| + [|sinx/2|], (where [·] denotes the greatest integer function), then

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If f(x) = cos |x| + [|sinx/2|],  (where [·] denotes the greatest integer function), then

(A)  f(x) is periodic

(B)  f(x) is odd

(C)  f(x) is non-periodic

(D)  None of these

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Best answer

Correct option (A) f(x) is periodic

Explanation :

We have

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