Determine the convergence of ∑n=1∞sin(1n2)\sum_{n=1}^{\infty} \sin(\frac{1}{n^2})∑n=1∞sin(n21).
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 Ratio Test
Diverges by Ratio Test