Definition:Little-O Notation

Definition
Little-O notation occurs in a variety of contexts.

Sequences
Let $\left \langle {a_n} \right \rangle$ and $\left \langle {b_n} \right \rangle$ be sequences of real or complex numbers.

Real Functions
Let $f$ and $g$ be real-valued or complex-valued functions on a subset of $\R$ containing all sufficiently large real numbers.