please help, I'm lost...

3-3 Ordering by asymptotic growth rates d. Rank the following functions by order of growth; that is, find an arrangement 81.82..... 830 of the functions satisfying g = 2(82). g2 = S2(83), ..., 829 = S2(820). Partition your list into equivalence classes such that functions (n) and g(n) are in the same class if and only if f(n) = (g(n)). NI Ig(lg* n) 219** (V2)'gn )" 13 1gn In Inn Ig* n n.2n 21gn (Ign)lgn en Ig* (Ign) 2V21gnn 12 n! (1g n)! g(n!) 22" n1/1gn nislgn Inn 1 41gn (n + 1)! gn 2nnlgn 22"+1 b. Give an example of a single nonnegative function f(n) such that for all func- tions gi(n) in part (a), f(n) is neither 0(gi(n)) nor S2(gi(n))