JEE Main Maths · Limits and Derivatives

Indeterminate Power Forms

Indeterminate Power Forms (Limits and Derivatives) was asked 3 times in 3 JEE Main shifts, 2021–2025, out of the 42 shifts Lumi analysed. 1 of the 3 had a numerical answer.

Times asked: 3; in 3 shifts
Years: 2021–2025
Usual format: Single correct; Calculation
Pattern: Comes in cycles; repeats across shifts

How it is asked

Limit of one-to-infinity form
Limit with indeterminate power form

Difficulty

Easy 1Medium 1Hard 1

Where it sits

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

All 3 questions

Newest first, each with its options and official answer.

3 Apr 2025, Shift 2 · Q25If $\lim_{x \to 0}\left(\frac{\tan x}{x}\right)^{\frac{1}{x^2}} = p$ , then $96 \log_e p$ is equal to ___________.MediumNumerical value
9 Apr 2024, Shift 2 · Q5 $\lim_{x\to0}\frac{e-(1+2x)^{\frac{1}{2x}}}{x}$ is equal toHardSingle correct
3 Aug 2021, Shift 2 · Q68 $\lim_{x\to0}(1+x)^{\frac{1}{e^x-1}}$ is equal toEasySingle correct