2. (25 pts.] For the following pairs of functions g(n) and f(n), indicate whether g(n) is 0, 0, N2 or of f(n). Justify your answer using rigorous arguments (simply stating the answers will result in 0 points awarded.) (a) (12 pts.] g(n) = n and f(n) = (log, n)2 (b) (13 pts.] g(n) = n! and f(n) = n