If f(x) = is continuous ∀ x ∈ R then (A, B) is- | CGP Edu

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

Published by: CGP EDU Academic Team

Published on: August 13, 2026

If f(x) = is continuous ∀ x ∈ R then (A, B) is-

A

(–1, 0)

B

(0, 1)

C

(–1, 1)

D

(0, 0)

Text Solution

Verified by Experts

The correct answer is:

f(1 + ) = B + 1, f(1) = 2, f(1 – ) = 3 + A

 f(x) is continuous at x = 1

B + 1 = 2 ⇒ B = 1

A + 3 = 2 ⇒ A = –1

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