Determine the convergence of ∑n=1∞sin(n2)⋅1n2\sum_{n=1}^{\infty} \sin(n^2) \cdot \frac{1}{n^2}∑n=1∞sin(n2)⋅n21.
Converges absolutely.
Converges conditionally.
Diverges.
Inconclusive.