Consider the following functions.

a$)n^{\frac{3}{2}}$

b$)8logn$

c$)3^n$

d$)n^2$

e$)3**2^n$

Order the above functions according to their asymptotic complexity. Start with the

function having the smallest asymptotic complexity and move on to the function having

the next largest one. That is$,$ write them as a sequence $f1,f2,$dots,$f9$ such that $f1(n)=$

$O(f2(n)),f2(n)=O(f3(n)),$ etc. Indicate as well functions $f,g$ that are asymptotically

equivalent, that is$,$ where both $f(n)=O(g(n))$ and $g(n)=O(f(n))$ hold.