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Friday, 9 October

JEE Main 2024 · MathsMultiple choiceSingle correctHardConceptual

JEE Main 31 January 2024, Shift 2, Maths Q9

Question 9 of 90 in this shift, Maths question 9 of 30, Section A.

Let f:R→(0,∞)f:\mathbb{R}\to(0,\infty) be strictly increasing function such that lim⁡x→∞f(7x)f(x)=1\lim_{x\to\infty}\frac{f(7x)}{f(x)}=1. Then, the value of lim⁡x→∞[f(5x)f(x)−1]\lim_{x\to\infty}\left[\frac{f(5x)}{f(x)}-1\right] is equal to
  1. (1)1
  2. (2)7/5
  3. (3)4
  4. (4)0Official answer

Official answer

Option 4

NTA final key.

Topic
No close match in our taxonomy
Idea tested
No close match in our taxonomy

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 42 of the 174 JEE Main shifts held from 2017 to 2026.