User:Barto/Asymptotic Notation/Little-O

Sketchy definition: $\forall\epsilon>0 : |f|\leq\epsilon|g|$ in a certain punctured neighborhood $U_\epsilon$.

In case of field and if $g\neq0$ in a certain domain: equivalent to $\lim f/g=0$ ($\iff \lim|f/g|=0$)