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

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

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

    Help!
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  2. #2
    Super Member girdav's Avatar
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    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.
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  3. #3
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    Re: Convergence of sigma sin(1/n^2) . . . does it converge?

    I think got it! thanks for answering ^^
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