Determine the proper relationship between the following pair of functions.
f(n) = 2^n
g(n) = n^n
f(n) is O(g(n))f(n) is in \Omega(g(n))f(n) is \Theta(g(n)) if \lim \frac{f(n)}{g(n)} \rightarrow 0,
then f(n) is in O(g(n)).
if \lim \frac{f(n)}{g(n)} \rightarrow constant,
then f(n) is \Theta(g(n)).
if \lim \frac{f(n)}{g(n)} \rightarrow \infty,
then f(n) is in \Omega(g(n)).