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Questions › CUET-PG › CUET-PG 2018 › Q48
4 marks, −1Mathematics › Limits, continuity and differentiability › Continuity and discontinuitiesModerateabout 1 min

CUET-PG 2018 Question 48: Limits, continuity and differentiability

Let f(x)=x−∣x∣xf(x)=\dfrac{x-|x|}{x}f(x)=xx−∣x∣​ for x≠0x\neq 0x=0 and f(0)=2f(0)=2f(0)=2. Then fff is

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Let f(x)=(x-|x|)/x for x≠ 0 and f(0)=2. Then f is (A) Continuous everywhere (B) Continuous nowhere (C) Continuous for all x except x = 0 (D) Continuous for all x except x = 1

Also written as: Let f(x)=(x-|x|)/x for x!= 0 and f(0)=2. Then f is

Limits, continuity and differentiability has come up 122 times in 7 exams since 2006.

What this question tests

This question is on Continuity and discontinuities, part of Limits, continuity and differentiability in Mathematics.

When a function is continuous at a point and what kinds of breaks occur.

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