JEE Main Maths · Limits and Derivatives

First Principle Derivative Recognition

First Principle Derivative Recognition (Limits and Derivatives) was asked once in the 42 JEE Main shifts Lumi analysed, in 2020. 1 of the 1 had a numerical answer.

Times asked: 1; in 1 shift
Years: 2020
Usual format: Numerical value; Multi-step
Pattern: Gone quiet; asked once so far

How it is asked

Unknown constants from finite limit

Difficulty

Easy 0Medium 1Hard 0

Where it sits

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

The question

Newest first, each with its options and official answer.

2 Sep 2020, Shift 1 · Q72If $\lim_{x\to 1}\frac{x+x^{2}+x^{3}+\ldots+x^{n}-n}{x-1}=820,\ (n\in\mathbf{N})$ then the value of n is equal to ___________.MediumNumerical value