Determine the convergence of ∑n=1∞sin(1/n)\sum_{n=1}^{\infty} \sin(1/n)∑n=1∞sin(1/n).
Converges by Comparison Test with 1/n21/n^21/n2
Diverges by Limit Comparison Test with 1/n1/n1/n
Converges by Alternating Series Test
Diverges by Test for Divergence