I need your help with the following.
I need to determine how to order (functions) the following :
\begin{align} &f(x)=(x/2)^{(x/2)} \\ &g(x)=x! \end{align}
Note: I got both of them are equal ( $f(x)= \theta(x \log x)$ and $g(x)= \theta(x \log x)$ ) But I do not know how it really true.
Thanks in advance!