The function , where 1.] denotes the greatest integer func…

Maths Functions, Limits, Continuity and Differentiability MHT CET Previous Year Question Single Correct MCQ

Published by: CGP EDU Academic Team

Published on: August 11, 2026

The function , where 1.] denotes the greatest integer function, is discontinuous at

all irrational numbers

all integer points.

every rational

which is not an integer.

Text Solution

Verified by Experts

The correct answer is:

: As,

For a function to be continuous LHL

So, let us check continuity for where is an integer
L.HI at is given by

RHL at is given by

Also

, for

So, will be continuous for all .

──────────────────────────────────────────────────────────────────────────────────────────

Previous Question Next Question

Get practice questions, solutions, and test series in one place.

Share your experience with this question and solution.

Send your comment, doubt, correction, or feedback to admin.

What students say about this solution

No reviews yet. Be the first to write a review.