Determine the convergence behavior of ∑n=1∞(−1)n+1nn2+1\sum_{n=1}^{\infty} \frac{(-1)^{n+1} \sqrt{n}}{n^2 + 1}∑n=1∞n2+1(−1)n+1n.
Converges absolutely
Converges conditionally
Diverges
The convergence test is inconclusive