Determine the convergence of the series ∑n=1∞ln(n)n2\sum_{n=1}^{\infty} \frac{\ln(n)}{n^2}∑n=1∞n2ln(n).
Converges by Comparison Test with ∑1n1.5\sum \frac{1}{n^{1.5}}∑n1.51
Diverges by Comparison Test with ∑1n\sum \frac{1}{n}∑n1
Converges by Integral Test
Diverges by Ratio Test