Range of f(x) = [1 + sinx] + + + ..... + ∀ ∀ x ∈ ∈ [0, π…

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

Published by: CGP EDU Academic Team

Published on: August 13, 2026

Range of f(x) = [1 + sinx] + + + ..... + ∀ ∀ x ∈ ∈ [0, π π ], where [.] denotes the greatest integer function, is

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The correct answer is:

+…

Since x ∈ ∈ [0, π π ] . Thus range is

⇒ ⇒ = 0

Clearly is a

decreasing function and = − − 1, g(x) = ∞ ∞ also g(0) = 1. Thus f(x) = 0 has exactly one root.

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