For a pair of expressions ($A,B$), I need to determine whether $A$ is upper asymptotic, tight bound, or lower asymptotic of $B$. For example:
$$A = n^{\log(c)}$$ $$B = n^{sin(n)}$$
What (free) software and (simple) commands could I use to graph these?
I am not very experienced with using software to plot. Thank you.
You can use Wolfram Alpha, like this, or Function Plotter. I prefer the latter for relatively simple expressions, because you can interactively zoom in or out with your mouse-wheel. Just add the function on the right (by default, it displays $x^2$).
As far as I know fooplot only plots functions, not sequences. In WA you can probably do both.