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

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- Jul 23rd 2012, 12:06 AMPhysicsdochiConvergence of sigma sin(1/n^2) . . . does it converge?
I want to know if sigma[sin(1/n^2)] converges...

Help! - Jul 23rd 2012, 02:04 AMgirdavRe: Convergence of sigma sin(1/n^2) . . . does it converge?
Yes, since $\displaystyle \left|\sin\left(\frac 1{n^2}\right)\leq \frac 1{n^2}$ and the series $\displaystyle \sum_{n\geq 1}\frac 1{n^2}$ is convergent.

- Jul 24th 2012, 07:04 PMPhysicsdochiRe: Convergence of sigma sin(1/n^2) . . . does it converge?
I think got it! thanks for answering ^^