Period of f(x) = x − − [x + a] − − b, where a, b ∈ ∈ and […

Maths Functions, Limits, Continuity and Differentiability Functions Single Correct MCQ

Published by: CGP EDU Academic Team

Published on: August 12, 2026

Period of f(x) = x − − [x + a] − − b, where a, b ∈ ∈ and [.] denotes the greatest integer function, is

|a - b|

Text Solution

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The correct answer is:

f(x) = x − − [x + a] − − b = x + a − − [x + a] − − (a + b)

= {x + a} − − (a + b).

Thus period of f(x) is 1.

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