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

Published on: August 12, 2026

Range of f(x) = [1 + sinx] + [cosx – 1] + [tan -1 x] ∀ ∀ x ∈ ∈ [0, 2 π π ], is (where [.] denotes the greatest integer function)

{-1, 1, 2}

{-1, 0, 1}

{-1, 0, 1, 2}

{-1, 0, 2}

Text Solution

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The correct answer is:

f(x) = [sinx] + [cosx] + [tan − − 1 x]. We get

Thus range of f(x) = {-1, 0, 1, 2}.

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