1. The problem statement, all variables and given/known data Does the series infinity n(sin(1/n)) converge? E n=1 2. Relevant equations n and sin(1/n) 3. The attempt at a solution The equation sin(1/n) looks familiar, maybe i could use the squeeze theorem? something like -1 <= sin(1/n) <= 1 i'm not sure where to go after this though, or if i'm even on the right track? please help. thankyou.