Order the following functions $x$, $e^x$, $\ln x$, $x^2$, $x^3$ from left to right such that $f$ is to the left of $g$ if $f=O(g)$ as $x$ goes to $0$.
$f=O(g)$ means that limit of $f/g$ as $x$ goes to $0$ is equal to some constant.
However, I can not find out any combination of $f$ and $g$ such that limit of $f/g$ is equal to some constant $C$ as $x$ goes to $0$.
Any idea please