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

• July 23rd 2012, 12:06 AM
Physicsdochi
Convergence of sigma sin(1/n^2) . . . does it converge?
I want to know if sigma[sin(1/n^2)] converges...

Help!
• July 23rd 2012, 02:04 AM
girdav
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.
• July 24th 2012, 07:04 PM
Physicsdochi
Re: Convergence of sigma sin(1/n^2) . . . does it converge?
I think got it! thanks for answering ^^