Two functions whose order can't be equated - big O notation Our teacher talked today in the class about big O notation, and about order relations.
she mentioned that the set of order of magnitude, is not linear
Meaning, there are function $f,g$ such that $f$ is not $O(g)$ and $g$ is not $O(f)$, but she gave no such example and im having trouble coming up with one.
Just out of sheer curiosity, could anyone come up with such 2 functions?

$f(x)=x^2\sin x$ and $g(x)=x.$
