Does ∑n=1∞nn2+1\displaystyle\sum_{n=1}^{\infty} \frac{n}{n^2+1}n=1∑∞n2+1n converge or diverge?
Diverges
Converges to π4\frac{\pi}{4}4π
Converges to 1
Converges to 12\frac{1}{2}21