JEE Main 2021MathematicsLimitsHardMCQ

JEE Main 2021 — Limits Question with Solution

JEE Main 2021 (25 Feb Shift 1)

Question

limn→∞1+1+12+……+1nn2n is equal to

Choose an option

Show full solutionCorrect option: D
Correct answer
D1

Step-by-step explanation

It is 1∞ form

L=elimn→∞1+12+13+…..+1nn

 L=elimn→∞1n+12n+13n+…..+1n2

∴ L=e0+0+0+…..+0

⇒L=e0=1

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About this question

This is a previous-year question from JEE Main 2021, 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.