mattgondek4

2020-12-16

Use the Limit Comparison Test to determine the convergence or divergence of the series.

$\sum _{n=1}^{\mathrm{\infty}}\frac{5}{{4}^{n}+1}$

Lacey-May Snyder

Skilled2020-12-17Added 88 answers

Given series,

we have to determine the convergence or divergence of the given series.

Consider

Since

so,

Thus, we can compare the given series

this geometric series converges since

so the comparison test tells us that

Jeffrey Jordon

Expert2021-12-27Added 2575 answers

Answer is given below (on video)