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.
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.