For the Problems Below, Determine Whether Each Alternating Series Converges $\sum_{n=2}^{\infty}(-1)^{n} \frac{\sin n}{n^{2}}$

Short Answer

For the problems below, determine whether each alternating series converges or diverges. If it converges, find whether it converges absolutely or converges conditionally.
- $\sum_{n=2}^{\infty}(-1)^{n} \frac{\sin n}{n^{2}}$