For each of the following pairs of functions, indicate whether it is one of the three cases: f(n) = 0 (g (n)), f (n) = (g (n)), or f (n) = 0 (g (n)). For each pair, you need to give both the answer and the proof.

1. f(n) = 5" and g (n) = n32n
2. f(n) = nlogn and g(n) = nlogn - n