\begin{definition}[Definition:O Notation/Little-O Notation/Sequence/Definition 1]
Let $\sequence {a_n}$ and $\sequence {b_n}$ be sequences of real or complex numbers.
Let $b_n\neq0$ for all $n$.
'''$a_n$ is little-O of $b_n$''' {{iff}}
:$\ds \lim_{n \mathop \to \infty} \frac {a_n} {b_n} = 0$
Category:Definitions/Asymptotic Notation
\end{definition}