JEE Main 2022MathematicsLimitsMediumMCQ

JEE Main 2022 — Limits Question with Solution

JEE Main 2022 (26 Jun Shift 1)

Question

limx→12sincos-1x-x1-tancos-1x is equal to

Choose an option

Show full solutionCorrect option: B
Correct answer
B-12

Step-by-step explanation

Let cos−1x=t  i.e. x=cost

So limt→π4sint−cost1−tant  =limt→π4−cost=−12

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About this question

This is a previous-year question from JEE Main 2022, 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.