# Problem Regarding Convergent Series.

• Apr 28th 2012, 10:45 PM
jameselmore91
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 $lim \frac{a_{n}}{b_{n}}$ converges and $\sum b_{n}$ converges, then $\sum a_{n}$ converges.