JEE Main 2024 (31 Jan, Shift 1) Maths Q6: L'Hopital's Rule

JEE Main 2024 · MathsMultiple choiceSingle correctMediumApplication

JEE Main 31 January 2024, Shift 1, Maths Q6

Question 6 of 90 in this shift, Maths question 6 of 30, Section A.

\lim_{x\to0}\frac{e^{2|\sin x|}-2|\sin x|-1}{x^2}

(1)is equal to $2$ Official answer
(2)is equal to $1$
(3)is equal to $-1$
(4)does not exist

Official answer

Option 1

NTA final key.

Chapter: Limits and Derivatives
Topic: L'Hopital's Rule
Idea tested: Simplifying with Standard Limits Before L'Hopital

Same idea in other shifts

Asked 6× in all

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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 42 of the 174 JEE Main shifts held from 2017 to 2026.