JEE Main 2020 · MathsMultiple choiceSingle correctMediumMulti-step

JEE Main 3 September 2020, Shift 1, Maths Q58

Question 58 of 75 in this shift, Maths question 8 of 25.

Let

[t]

denote the greatest integer

\le t

. If for some

\lambda\in\mathbf{R}-\{0,1\}

\lim_{x\to0}\left|\frac{1-x+|x|}{\lambda-x+[x]}\right|=L

, then L is equal to :

(1) $2$ Official answer
(2) $1$
(3) $\frac{1}{2}$
(4) $0$

Official answer

Option 1

NTA final key (Sep 2020).

Chapter: Limits and Derivatives
Topic: L'Hopital's Rule
Idea tested: Handling Greatest Integer Functions

Same idea in other shifts

Asked 3× 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 108 of the 174 JEE Main shifts held from 2017 to 2026.