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