Chapter 3, Problem 3RQ

To determine

(a)

To state:

The definition of the fact that $f(n)$ is $O(g(n))$ where $f(n)$ $,g(n)$ are functions from the set of integers to the set of real numbers.

To determine

(b)

To prove:

or disprove that $n^2+18n+107\text{ is }O(n^3)$ with the use of definition of the fact that $f(n)$ is $O(g(n))$

To determine

(c)

To prove:

or disprove that $n^3\text{ is O(}{n}^2+18n+107)$ with the use of definition of the fact that $f(n)$ is $O(g(n))$