\begin{definition}[Definition:Asymptotically Equal/Sequences/Definition 2]
Let $\sequence {a_n}$ and $\sequence {b_n}$ be sequences in $\R$.
$\sequence {a_n}$ is '''asymptotically equal''' to  $\sequence {b_n}$ {{iff}}:
:$a_n - b_n = \map o {b_n}$
where $o$ denotes little-o notation.
Category:Definitions/Asymptotic Notation
\end{definition}