For each of the following pairs of functions state which one grows faster and why. 1. (f(n/2))3 or (f(n/3))2 where f(n)=2n 2. 4logn or n1.5 3. (1.2)n1+n+logn or n1.5 4. 52+53++5logn or n3 5. n(2+n0.5logn) or nloglogn