$1-$ Consider the following functions.

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

b$)8logn$

c$)3^n$

d$)n^2$

e)3*2n

Ordertheabovefunctionsaccordingtotheirasymptoticcomplexity.Startwiththefunctionhavingthesmallestasymptoticcomplexityandmoveontothefunctionhavingthenextlargestone.Thatis,writethemasasequencef1,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.