Home Maths Functions, Limits, Continuity and Differentiability JEE Main 2021 If is a function defined by , where denot…
Maths Functions, Limits, Continuity and Differentiability JEE Main 2021 Single Correct MCQ
Published on: August 12, 2026

If is a function defined by , where denotes the greatest integer function, then is :

A
discontinuous only at
B
discontinuous at all integral values of except at
C
continuous only at
D
continuous for every real

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Text Solution

Verified by Experts
The correct answer is:
D

d JEE Main 2021
Doubtful points are

L.H.L

R.H.L

Hence continuous.

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