Determine whether the sequence of Sin(1/(n^2)) , while n is between 1 and infinite is convergent or divergent?

Question

Obviously the 2 dumbasses below don't know what they are talking about. the nth term test is inconclusive if lim(An) (as n go to infinite) =0. it is not enough to prove con/div. I proved it in my way but I wanted to see a different way or see if my way was right, please elaborate

Answer 1

Convergent.