# Thread: series: proving conver/diverge using comparison test

1. ## series: proving conver/diverge using comparison test

Prove convergence or divergence using comparison test.
$\sum \frac{ln n}{ n^2}$ from n=1 to inf
I'm not sure what to compare it to.

2. Originally Posted by calculushelp
Prove convergence or divergence using comparison test.
$\sum \frac{ln x}{ x^2}$ from n=1 to inf
I'm not sure what to compare it to.
There exists some $N\in\mathbb{B}$ such that $N\leqslant n\implies \ln(n)\leqslant\sqrt{n}$