I am trying to find if this series is convergent using the limit comparison test
$$\sum_{n=1}^{\infty} \frac{10}{2+3n(\ln n)^2}$$
I know that it's convergent, but what is the other series that I must compare with?
2026-04-18 05:57:19.1776491839
Convergence of $\sum_{n=1}^{\infty} \frac{10}{2+3n(\ln n)^2}$ using limit comparison test
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Hint: Compare it with $\displaystyle\sum_{n=2}^\infty\frac1{n\ln^2n}$.