Determine the convergence of ∑n=1∞sin2(1n)\sum_{n=1}^{\infty} \sin^2(\frac{1}{n})∑n=1∞sin2(n1).
Converges by Limit Comparison Test with ∑1n2\sum \frac{1}{n^2}∑n21
Diverges by Limit Comparison Test with ∑1n2\sum \frac{1}{n^2}∑n21
Converges by Ratio Test
Diverges by Divergence Test