Determine the convergence of ∑n=1∞(1−cos(1n))\sum_{n=1}^{\infty} (1 - \cos(\frac{1}{n}))∑n=1∞(1−cos(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