JEE Main 2026 — Limits Question with Solution
JEE Main 2026 (21 January Shift 2)
Question
Let denote the greatest integer function and . Then is equal to .
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Show full solutionCorrect answer: 2
Correct answer
2
Step-by-step explanation
Let [·] denote the greatest integer function. We have .
For large :
Therefore:
Computing the infinite series:
Therefore:
For large :
Therefore:
Computing the infinite series:
Therefore:
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This is a previous-year question from JEE Main 2026, covering the Limits 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.