Math Help - Convergence of sigma sin(1/n^2) . . . does it converge?

1. Convergence of sigma sin(1/n^2) . . . does it converge?

I want to know if sigma[sin(1/n^2)] converges...

Help!

2. Re: Convergence of sigma sin(1/n^2) . . . does it converge?

Yes, since $\left|\sin\left(\frac 1{n^2}\right)\leq \frac 1{n^2}$ and the series $\sum_{n\geq 1}\frac 1{n^2}$ is convergent.

3. Re: Convergence of sigma sin(1/n^2) . . . does it converge?

I think got it! thanks for answering ^^