Chapter 4, Problem 27R

Explanation of Solution

Given:

It is given that the $\lceil f(n)\rceil =O\left(f\left(n\right)\right)$

Big-Oh notation:

In big-Oh notation, let “f” and “g” be functions from the integers or the real numbers to the real numbers. It means that f(x) is “$\text{O}\left(\text{g}\left(\text{x}\right)\right)$” if there are constants “C” and “k” such that $\left|\text{f}\left(\text{x}\right)\right|\le \text{C}\left|\text{g}\left(\text{x}\right)\right|\text{where}\text{x > k}$

Proof:

According to big-oh definition, $f\left(n\right)\in$