Prove the following

(n?) + (n?) = S2(n). f(n)g(n) = (fin)), where f(n) and g(n) are positive functions. If f(n) = (g(n)), then f(n) = 12c g(n)), where f(n) and g(n) are positive functions and c is a constant. If there are 1,000,000 values of n for which f(n) > g(n), then f(n) = O(g(n)), where f(n) and g(n) are positive functions