What can we conclude about the series ∑n=1∞sin(1n)\sum_{n=1}^{\infty} \sin\left(\frac{1}{n}\right)∑n=1∞sin(n1) using the divergence test?
The series converges by the divergence test
The series diverges by the divergence test
The divergence test is inconclusive; we need another test
The series converges absolutely