I got this two functions to compare in preparation for a test:
$$ 2^n \cdot \ln(n^2) $$
and
$$ 2\cdot n!+4\cdot n^2. $$
I know that second function I can count as if it was just $n!$. But I still don't know which of these functions grow faster...
Can someone help me? Thank you very much.
