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Saturday, 31 October

JEE Main 2021 · MathsMultiple choiceSingle correctHardMulti-step

JEE Main 26 February 2021, Shift 2, Maths Q66

Question 66 of 90 in this shift, Maths question 6 of 30, Section A.

The sum of the series ∑n=1∞n2+6n+10(2n+1)!\sum_{n=1}^{\infty} \frac{n^2+6n+10}{(2n+1)!} is equal to :
  1. (1)418e+198e−1−10\frac{41}{8}e + \frac{19}{8}e^{-1} - 10
  2. (2)418e+198e−1+10\frac{41}{8}e + \frac{19}{8}e^{-1} + 10
  3. (3)−418e+198e−1−10-\frac{41}{8}e + \frac{19}{8}e^{-1} - 10
  4. (4)418e−198e−1−10\frac{41}{8}e - \frac{19}{8}e^{-1} - 10Official 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 108 of the 174 JEE Main shifts held from 2017 to 2026.