Definition:Little-O Notation

Definition
Given two real functions $f$ and $g$, the statement
 * $f = o \left({g}\right)$

is equivalent to the statement:
 * $\displaystyle \lim_{x \to \infty} \ \frac{f \left({x}\right)} {g \left({x}\right)} = 0$

This statement is voiced $f$ is little-o of $g$ or simply $f$ is little-o $g$.