JEE Main 2025 — Continuity and Differentiability Question with Solution
JEE Main 2025 (7 Apr Shift 1)
Question
The number of points of discontinuity of the function , where denotes the greatest integer function is ________
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Show full solutionCorrect answer: 8
Correct answer
8
Step-by-step explanation
Check for and becomes integers.
Continuous at , continuous at , occurs at
Not continuous
Continuous at , continuous at , occurs at
Not continuous
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This is a previous-year question from JEE Main 2025, 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.