JEE Main 2023MathematicsLimitsEasyMCQ

JEE Main 2023 — Limits Question with Solution

JEE Main 2023 (24 Jan Shift 1)

Question

limt→011sin2t+21sin2t+31sin2t......n1sin2tsin2t is equal to

Choose an option

Show full solutionCorrect option: B
Correct answer
Bn

Step-by-step explanation

L=limt→011sin2t+21sin2t+31sin2t......n1sin2tsin2t

=limt→01cosec2t+2cosec2t+3cosec2t......ncosec2tsin2t

=limt→0  nsin2tsin2t1ncosec2t+2ncosec2t+3ncosec2t......1sin2t

=nlimt→0  0+0+0......10=n

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About this question

This is a previous-year question from JEE Main 2023, 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.