Data Structures and Algorithms in Java
Data Structures and Algorithms in Java
6th Edition
ISBN: 9781119278023
Author: Michael T. Goodrich; Roberto Tamassia; Michael H. Goldwasser
Publisher: Wiley Global Education US
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Chapter 4, Problem 22R

Explanation of Solution

Given:

It is given that the (n+1)5=O(n5).

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 “O(g(x))” if there are constants “C” and “k” such that

|f(x)|C|g(x)|wherex > k

Proof:

The given condition is true. Let us take the given function and it can be written as follows:

(n+1)5=c.n5

  • Now, compare the above expression with the definition of big-Oh

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