JEE Main 2021MathematicsInverse Trigonometric FunctionsEasyNumerical

JEE Main 2021 — Inverse Trigonometric Functions Question with Solution

JEE Main 2021 (24 Feb Shift 1)

Question

limn→∞tan∑r=1ntan-111+r+r2 is equal to_______.

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Correct answer
1

Step-by-step explanation

limn→∞tan∑r=1ntan-111+rr+1

=limn→∞tan∑r=1ntan-1r+1-r1+rr+1

=tanlimn→∞∑r=1ntan-1r+1-tan-1r

=tanlimn→∞tan-1n+1-π4

=tanπ4=1

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About this question

This is a previous-year question from JEE Main 2021, covering the Inverse Trigonometric Functions 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.