Determining Absolute or Conditional Convergence Practice Test

Converges absolutely by comparison to $\sum \frac{1}{n^2}$

Diverges because $\sum(-1)^n$ diverges

Converges conditionally by the Alternating Series Test but not absolutely

Converges absolutely because $\sum \frac{\ln n}{n}$ converges

Diverges because $\ln n$ grows without bound