JEE Main 2024MathematicsFunctionsFunctional EquationsmediumNumerical

JEE Main 2024Functions Question with Solution

From: JEE Main 2024 (Online) 9th April Morning Shift

Question

If a function satisfies for all and , then the largest natural number such that \sum_\limits{\mathrm{k}=1}^{2022} f(\lambda+\mathrm{k}) \leq(2022)^2 is equal to _________.

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Show full solutionCorrect answer: 1010
Correct answer
1010

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About this question

This is a previous-year question from JEE Main 2024, covering the Functions 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.