Definition:Little-O Notation/Real/Infinity

Definition
Let $f$ and $g$ be real functions defined on a neighborhood of $+ \infty$ in $\R$.

Definition 2
This is denoted:
 * $f = \map o g \qquad \paren {x \to \infty}$

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

Also see

 * Equivalence of Definitions of Little-O Notation for Real Functions at Infinity