Consider the following functions:
$f(n) = \frac{n^2}{\log n}$
$g(n) = n(\log n)^2$
Indicate the relation between the two (e.g. $f(n)= O(g)$, $f = Ω(g)$ or $f = Θ(g)$)
The above functions are relatively complicated to visualize. In such cases, how would one go about identifying the relation between the functions? (Its hard to predict the behaviour of these functions without a graphing calculator, at least for someone with my mathematical knowledge).