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Saturday, 31 October

JEE Main · Maths · Integrals

L'Hopital with Leibniz Rule

JEE Main asked L'Hopital with Leibniz Rule 3 times in 3 of the 108 shifts Lumi analysed, in 2020 and 2024. It belongs to L'Hopital's Rule, in Integrals (Maths). The longest wait between two years asking it was 4 years. In 2024 it came in more than one shift of the same year.

Updated 2026-10-24

Times asked
3
in 3 shifts
Years
2 of 8
First asked
2020
last in 2024
Pattern
Occasional
across the analysed shifts

Questions on this idea a shift, by year

2017–2026. Asked in 2020 and 2024. Years differ in how many shifts Lumi analysed, so each year is scaled to one shift of 25 Maths questions.

00.050.10’170.08’200’210’220’230.09’240’250’26

Raw count: 2017: 0 in 1 shift · 2020: 1 in 12 shifts · 2021: 0 in 24 shifts · 2022: 0 in 24 shifts · 2023: 0 in 12 shifts · 2024: 2 in 18 shifts · 2025: 0 in 8 shifts · 2026: 0 in 9 shifts.

Shift by shift

Each square is one analysed shift, in date order. Open a filled one for that paper.

  • 20260 of 9
  • 20250 of 8
  • 20242 of 18
  • 20230 of 12
  • 20220 of 24
  • 20210 of 24
  • 20201 of 12
  • 20170 of 1

Asked in that shift More than once Not asked

How JEE Main framed it

Single correct is the usual form. Skill tested: calculation.

  • Limit of integral function via l'hopital
  • Limit with integral via l'hopital

Difficulty

Easy 1Medium 2Hard 0

Every question was multiple choice.

Every question

All 3 questions

From the official JEE Main shift papers, newest first. Open one for the full question, the options and the official answer.

  1. 30 Jan 2024, Shift 1 · Q8Let f:[−π2,π2]→Rf:\left[-\frac{\pi}{2},\frac{\pi}{2}\right]\to\mathbf{R} be a differentiable function such that f(0)=12f(0)=\frac{1}{2}. If…MediumSingle correct
  2. 29 Jan 2024, Shift 1 · Q8…MediumSingle correct
  3. 8 Jan 2020, Shift 2 · Q58lim⁡x→0∫0xtsin⁡(10t) dtx\lim_{x \to 0} \frac{\int_0^x t \sin(10t)\,dt}{x} is equal to :EasySingle correct

Shifts: 8 Jan 2020, Shift 2, 29 Jan 2024, Shift 1, 30 Jan 2024, Shift 1.

Same topic

Other ideas in L'Hopital's Rule

L'Hopital's Rule has 18 ideas JEE Main has asked; 9 of them came up in more than one question. The 12 most asked are below.

Topic analysisChapter analysisStudy this chapterAll repeated ideas