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Thread: Problem Regarding Convergent Series.

  1. #1
    Junior Member
    Mar 2010

    Problem Regarding Convergent Series.

    I need to come up with a proof to this problem but it's giving me a hard time...

    Show that if $\displaystyle lim \frac{a_{n}}{b_{n}}$ converges and $\displaystyle \sum b_{n}$ converges, then $\displaystyle \sum a_{n}$ converges.
    Last edited by jameselmore91; Apr 28th 2012 at 10:48 PM.
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