Find the convergence of ∑n=1∞sin2(1/n)\sum_{n=1}^{\infty} \sin^2(1/n)∑n=1∞sin2(1/n).
Converges by comparison with ∑1/n2\sum 1/n^2∑1/n2
Diverges by comparison with ∑1/n\sum 1/n∑1/n
Converges by Ratio Test
Diverges by Ratio Test