Determine the convergence of ∑n=1∞sin(1n)\sum_{n=1}^{\infty} \sin(\frac{1}{n})∑n=1∞sin(n1).
Converges by Comparison Test
Diverges by Limit Comparison Test with ∑1n\sum \frac{1}{n}∑n1
Converges by Alternating Series Test
Diverges by the Ratio Test