Infinite series sin(1/n)/n ??? 1. The problem statement, all variables and given/known data does the series (sin (1/n)) / sqrt ( n ) converge or diverge? (series from n = 1 to infinity...) 2. Relevant equations 3. The attempt at a solution I thought that for this we could do a comparison of sin (1/n) to a finite number. Lets say we use the number -2. -2 is less than sin(1/n) for all n. With that being said, -2/ sqrt( n ) diverges, as it is a p series with p less than 1. But, this series actually converges... what did I do wrong?