JEE Main 2023 — Definite Integration Question with Solution
From: JEE Main 2023 (Online) 6th April Evening Shift
Question
\lim _\limits{n \rightarrow \infty}\left\{\left(2^{\frac{1}{2}}-2^{\frac{1}{3}}\right)\left(2^{\frac{1}{2}}-2^{\frac{1}{5}}\right) \ldots . .\left(2^{\frac{1}{2}}-2^{\frac{1}{2 n+1}}\right)\right\} is equal to :
Choose an option
Show full solutionCorrect option: D
Correct answer
D0
Step-by-step explanation
Let
Here,
Since, and
Here,
Since, and
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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.