# Thread: convergence and comparison test help

1. ## convergence and comparison test help

hello, im studying for a midterm by reviewing past homework assignments.

could anyone tell me how to apply the convergence test to the following problem to determine convergence/divergence?

infinite
sigma (ln n)/n^3
n=1

2. Originally Posted by wyhwang7
hello, im studying for a midterm by reviewing past homework assignments.

could anyone tell me how to apply the convergence test to the following problem to determine convergence/divergence?

infinite
sigma (ln n)/n^3
n=1
$|\ln(x)|<|x|$ for $x\ge 1$, so $\left|\frac{\ln(n)}{n^3}\right|<\left|\frac{1}{n^2 }\right|$ when $n\ge 1$, and you should know that $\sum_{n=1}^{\infty} \frac{1}{n^2}$ converges absolutely

CB