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Questions  

The period of the function f (x) = x [x] is

a
1
b
2
c
non periodic
d
None of these

detailed solution

Correct option is C

Let n ≤ x < n + 1Then, f (x) = x ⋅ n, where n changes with x. Clearly no constant k > 0 is possible for which f (x) = f (x + k) corresponding to all x.∴ f (x) is a non periodic function.

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