The Question
Give an example of a pair of series $\sum a_n$ and $\sum b_n$ with positive terms where the limit as n goes to infinity of $\frac{a_n}{b_n} = 0$ and $b_n$ diverges and $a_n$ converges.
My Solution
$a_n = 1/n^2$
$b_n = n^2$
This was supposed to be one of the harder questions on the assignment and seemed too easy. Did I mess up anywhere?