If A = ∑ 1/(3 + (−1)ⁿ)ⁿ and B.... | JEE Main 2022

JEE MAIN 2022

26-06-22 S2

Question

If $A=\sum_{n=1}^{\infty} \frac{1}{\left(3+(-1)^n\right)^n}$ and $B \sum_{n=1}^{\infty} \frac{(-1)^n}{\left(3+(-1)^n\right)^n}$, then $\frac{A}{B}$ is equal to :

Select the correct option:

$\frac{11}{9}$

$-\frac{11}{9}$

$-\frac{11}{3}$

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

Solution

Question Tags

JEE Main

Mathematics

Medium

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