JEE Main 2023 — Definite Integration Question with Solution
From: JEE Main 2023 (Online) 13th April Morning Shift
Question
Among
(S1): \lim_\limits{n \rightarrow \infty} \frac{1}{n^{2}}(2+4+6+\ldots \ldots+2 n)=1
(S2) : \lim_\limits{n \rightarrow \infty} \frac{1}{n^{16}}\left(1^{15}+2^{15}+3^{15}+\ldots \ldots+n^{15}\right)=\frac{1}{16}
Choose an option
Show full solutionCorrect option: B
Correct answer
BBoth (S1) and (S2) are true
Step-by-step explanation
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This is a previous-year question from JEE Main 2023, covering the Definite Integration 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.