I've been struggling with a homework-like problem (I'm a self-studier) and having trouble understanding the 'hints' I've already received. Please forgive my lack of knowledge around terminology.
Let's say I have this list of functions and I want to order them by increasing order of growth rate:
$$ n^2 $$ $$ n^2 \log(n) $$ $$ 2^n $$
The two 'hints' I have are 'graph for large values of n' and 'take logarithms and see what happens'.
I have tried graphing these, but I'm not sure how to interpret my findings (because I keep ending up with the wrong answers). I fear I must be doing something really incorrect.
I don't want the answer here, but I'd like a push towards the right approach.
Thanks for your understanding. I'm having some real trouble with the basics. Even an example as to how to 'take the logarthims' of these would help me a lot.