Consider the series ∑n=1∞sin(1n)\sum_{n=1}^{\infty} \sin(\frac{1}{n})∑n=1∞sin(n1). What is its convergence behavior?
Converges by Integral Test
Diverges by Limit Comparison with ∑1n\sum \frac{1}{n}∑n1
Converges by Ratio Test
Diverges by Root Test