1. The problem statement, all variables and given/known data Show that lim n->inf sin(n*alpha), 0 < alpha < pi, diverges. 2. Relevant equations lim n-> inf sin(n) diverges 3. The attempt at a solution I know how to solve this for a constant value of alpha (i.e pi/3), but am unaware of solving this one, where alpha may vary. I know that sin(alpha) when alpha is in the given interval has a positive value, but don't know how to apply that to this solution.