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Thread: why is this absolutely convergent?

  1. March 29th 2009, 07:47 PM #1
    mollymcf2009
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    why is this absolutely convergent?

    I don't get why this is absolutely convergent?

    \sum^{\infty}_{n=1} \frac{sin(4n)}{7^n}
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  2. March 29th 2009, 07:54 PM #2
    Krizalid
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    \left| a_{n} \right|=\frac{\left| \sin 4n \right|}{7^{n}}\le \frac{1}{7^{n}}, that's why.
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