Home Maths Functions, Limits, Continuity and Differentiability General At the point x = 1, the function f(x) = is:
Maths Functions, Limits, Continuity and Differentiability General Single Correct MCQ
Published on: August 12, 2026

At the point x = 1, the function f(x) = is:

A
Continuous and differentiable
B
Continuous and not differentiable
C
Discontinuous and differentiable
D
Discontinuous and not differentiable

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Text Solution

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The correct answer is:
B

f(x) = continuous

f ′ (1 + x) = 3x 2 f ′ (1 – h) = 1

at x = 1 = 1

not differentiable.

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