1. diverges or converges?

Does the series

infinity n(sin(1/n)) converge?
E
n=1

This series does not alternate, I think it diverges because there is no sum.

thanks for any help with this one.

2. Originally Posted by rcmango
Does the series

infinity n(sin(1/n)) converge?
E
n=1

This series does not alternate, I think it diverges because there is no sum.

thanks for any help with this one.
As $\lim_{n \to \infty} n \sin(1/n) \to 1$ the series diverges.

RonL