Asymptomatic Growth

Rank the following functions by increasing order of growth; that is, find an arrangement g1.92, . . . , gn of the functions satisfying gl = 0(M2), g2 0(9s), , g10-0(gn). Partition your list into equivalence classes such that f(n) and g(n) are in the same class if and only if f(n) = (g(n)). All the logs are in base 2. 100) 3",n10, 1, 22n 10100n, 3vm, 1/5, 4", n log n, log(n!)