JEE Main 2026 — Continuity and Differentiability Question with Solution
JEE Main 2026 (24 January Shift 2)
Question
Let denote the greatest integer less than or equal to . If the function is continuous at , then is equal to
Choose an option
Show full solutionCorrect option: D
Correct answer
D
Step-by-step explanation
For : .
.
So .
For near : from below, so .
.
For continuity: .
.
.
So .
For near : from below, so .
.
For continuity: .
.
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This is a previous-year question from JEE Main 2026, covering the Continuity and Differentiability chapter of Mathematics. PrepSharp catalogues every PYQ from JEE Main with a verified answer key and step-by-step solution prepared by IIT alumni — so you can search by chapter, topic or year and revise efficiently.