Chapter 22.4, Problem 22.4.1CP

Program Plan Intro

Given growth functions:

$\frac{{\text{5n}}^{\text{3}}}{4032},44\text{log}\text{n, 10n}\text{log}{\text{n, 500, 2n}}^{\text{2}},\frac{{\text{2}}^{\text{n}}}{45},\text{ 3n}$

The above functions are ordered as follows:

$\text{500}\left(\text{1}\right){\text{ < 44 log n < 3n < 10nlogn < 2n}}^{\text{2}}\text{ < }\frac{{\text{5n}}^{\text{3}}}{4032}\text{ < }\frac{{\text{2}}^{\text{n}}}{45}$