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Saturday, 31 October

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JEE Main 2021 · MathsMultiple choiceSingle correctMediumMulti-step

JEE Main 27 August 2021, Shift 2, Maths Q65

Question 65 of 90 in this shift, Maths question 5 of 30, Section A.

If

0 < x < 1

and

y = \frac{1}{2}x^2 + \frac{2}{3}x^3 + \frac{3}{4}x^4 + \dots

, then the value of

e^{1+y}

at

x = \frac{1}{2}

is :

(1) $2e$
(2) $2e^2$
(3) $\frac{1}{2}\sqrt{e}$
(4) $\frac{1}{2}e^2$ Official answer

Official answer

Option 4

NTA final key.

Chapter: Sequences and Series
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.