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Friday, 9 October

JEE Main Maths · Continuity and Differentiability

e-Power Shortcut for 1^infinity Forms

e-Power Shortcut for 1^infinity Forms (Continuity and Differentiability) was asked 2 times in 2 JEE Main shifts, 2020–2022, out of the 42 shifts Lumi analysed. 1 of the 2 had a numerical answer.

Times asked
2
in 2 shifts
Years
2020–2022
Usual format
Numerical value
Calculation
Pattern
Occasional
repeats across shifts

How it is asked

  • Limit of one-to-infinity form

Difficulty

Easy 1Medium 0Hard 1

Where it sits

Chapter: Continuity and Differentiability. Topic: L'Hopital's Rule, 24 questions over 8 ideas.

Other repeat ideas in this topic

Every time it came

All 2 questions

Newest first, each with its options and official answer.

  1. 28 Jul 2022, Shift 1 · Q29lim⁡x→0((x+2cos⁡x)3+2(x+2cos⁡x)2+3sin⁡(x+2cos⁡x)(x+2)3+2(x+2)2+3sin⁡(x+2))100x\lim_{x\to0}\left(\frac{(x+2\cos x)^3+2(x+2\cos x)^2+3\sin(x+2\cos x)}{(x+2)^3+2(x+2)^2+3\sin(x+2)}\right)^{\frac{100}{x}} is equal to…HardNumerical value
  2. 8 Jan 2020, Shift 1 · Q57lim⁡x→0(3x2+27x2+2)1/x2\lim_{x\to 0}\left(\dfrac{3x^2+2}{7x^2+2}\right)^{1/x^2} is equal to :EasySingle correct