3. (12 points) Purpose: Practice working with asymptotic notation. Rank the following functions by order of asymptotic growth; that is, find an

Rank the following functions by order of asymptotic growth; that is, find an arrangement g1, g2...of the below functions with g1 is similar to big omega of g2 and so on. Mark the functions that are asymptotically equivalent, i.e. gk is similar to theta of gk+1 by a "*".