JEE Main 2021 · MathsMultiple choiceSingle correctHardMulti-step

JEE Main 26 August 2021, Shift 1, Maths Q65

Question 65 of 90 in this shift, Maths question 5 of 30, Section A. NTA dropped this question from the final key; it is left out of every count on this site.

The sum of the series

\frac{1}{x+1} + \frac{2}{x^2+1} + \frac{2^2}{x^4+1} + \ldots + \frac{2^{100}}{x^{2^{100}}+1}

when

x = 2

is :

(1) $1 - \frac{2^{101}}{4^{101}-1}$
(2) $1 - \frac{2^{100}}{4^{100}-1}$
(3) $1 + \frac{2^{101}}{4^{101}-1}$
(4) $1 + \frac{2^{100}}{4^{101}-1}$

Official answer

Dropped by NTA (marks given to all)

NTA final key: NTA final key: DROP (question dropped).

Chapter: Sequences and Series
Topic: No close match in our taxonomy
Idea tested: No close match in our taxonomy