How do your Favorite Sequences Stack Up?

It's very important to have a feeling for how sequences compare with each other.

Let's write:
  {an} >> {bn} if     (an/bn) -> +   as n ->
and {an} << {bn} if     (an/bn) -> 0       as n ->

(Think of >> as "infinitely bigger in the limit"
and << as "infinitely smaller in the limit")

Problem: Line up the following sequences, deciding which is "first", "second", "third", etc so that:

a) (n) b) en c) n! d) n2 e) ln n f) nn

HTML translation by Harel Barzilai of Activity by Marshall Cohen.