determine if the series is absolutely convergent and convergent

Question

the sum from n=1 to infinity of
sin(n^2)/n^2

what series test should I use and how?
the ratio test?

Answer 1

|sin(n^2)/n^2 | < 1/n^2 and sum from 1 to infinity of 1/n^2 converges (to pi^2/6 )