Mathematics · 2022
JEE Main · 26 June 2022, Shift 2 · Q3
If A=Σ_n=1^∞ 1/((3+(-1)^n)^n) and B=Σ_n=1^∞ ((-1)^n)/((3+(-1)^n)^n), then A/B is equal to:
If $\displaystyle A=\sum_{n=1}^{\infty} \frac{1}{\left(3+(-1)^n\right)^n}$ and $\displaystyle B=\sum_{n=1}^{\infty} \frac{(-1)^n}{\left(3+(-1)^n\right)^n}$, then $\displaystyle \frac{A}{B}$ is equal to :
Official answer
(3)
$\displaystyle -\frac{11}{9}$
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JEE Main 2022 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.