Determine the convergence of ∑n=1∞sin(1/n2)\sum_{n=1}^{\infty} \sin(1/n^2)∑n=1∞sin(1/n2).
Converges by Comparison Test with ∑1n2\sum \frac{1}{n^2}∑n21
Diverges by Comparison Test with ∑1n2\sum \frac{1}{n^2}∑n21
Converges by the Ratio Test
Diverges by the Test for Divergence