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Saturday, 31 October

JEE Main 2023 · MathsNumerical answerNumerical valueHardMulti-step

JEE Main 6 April 2023, Shift 2, Maths Q26

Question 26 of 90 in this shift, Maths question 26 of 30, Section B.

Let f(x)=x(1+xn)1n, x∈R−{−1}, n∈N, n>2f(x)=\frac{x}{(1+x^n)^{\frac{1}{n}}},\ x\in\mathbb{R}-\{-1\},\ n\in\mathbb{N},\ n>2. If fn(x)=(fofof… upto n times)(x)f^n(x)=(fofof\ldots\text{ upto }n\text{ times})(x), then lim⁡n→∞∫01xn−2(fn(x))dx\lim_{n\to\infty}\int_0^1 x^{n-2}\left(f^n(x)\right)dx is equal to ___________.

Official answer

0

NTA final key.

Chapter
Integrals
Topic
No close match in our taxonomy
Idea tested
No close match in our taxonomy

Question text from the official JEE Main paper published by NTA; answer from the final answer key. Chapter, topic and idea tags, difficulty and skill are Lumi’s. Lumi analyses 108 of the 174 JEE Main shifts held from 2017 to 2026.