Does ∑n=1∞sin(1/n2)\sum_{n=1}^{\infty} \sin(1/n^2)∑n=1∞sin(1/n2) converge?
Yes, by comparison with ∑1/n2\sum 1/n^2∑1/n2
Yes, by comparison with ∑1/n\sum 1/n∑1/n
No, it diverges
No, it oscillates