Explanation and some work please. Please use L'Hôpital's Rule for the exlpanation and work.

For each of the following pair of functions f(n) and g(n), decide if f(n) = O (g(n), or g(n) = O(f(n)), and explain. (1) f(n) = 2^n, g(n) = n^log n (2) f(n) = squareroot n, g(n) = (log n)^2 (3) f(n) = n^1/3, g(n) = n/log n (4) f(n) = n^3 + 2n^2 + 10n, g(n) = 100 n^2 (5) f(n) = (log n)^3 + 5 log n, g(n) = n