Comparing composite functions asymptotically Suppose, we have $f_1(n) = o\left(f_2(n)\right)$. (small $o$)
Now, we have to compare $f_1\left(f_2(n)\right)$ and $f_2\left(f_1(n)\right)$ asymptotically..
What can we say about it? Which one will be greater & why?

HINT $f_1 = \log x,\; f_2 = x^n \;$ for $\; n = 1/2,\; 1,\; 2\;$ shows that the answer is "nothing"
