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Give as good a big-O estimate as possible for each of

Discrete Mathematics and Its Applications | 7th Edition | ISBN: 9780073383095 | Authors: Kenneth Rosen ISBN: 9780073383095 37

Solution for problem 25E Chapter 3.2

Discrete Mathematics and Its Applications | 7th Edition

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Discrete Mathematics and Its Applications | 7th Edition | ISBN: 9780073383095 | Authors: Kenneth Rosen

Discrete Mathematics and Its Applications | 7th Edition

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Problem 25E

Give as good a big-O estimate as possible for each of these functions.

a) (n2 + 8)(n + 1)

b) (n log n + n2)(n3 + 2)

c) (n! + 2n)(n3 + log(n2 + 1))

Step-by-Step Solution:

Step 1</p>

In this problem we have to estimate big-O.

Function  is called  if there exist constant c and k such that

 where

Step 2</p>

a) (n2 + 8)(n + 1)

We have  

When  we can estimate function  as

Where,

When  and Since, ,

we can estimate function  as

Where,

Therefore notation for is

Step 3 of 4

Chapter 3.2, Problem 25E is Solved
Step 4 of 4

Textbook: Discrete Mathematics and Its Applications
Edition: 7
Author: Kenneth Rosen
ISBN: 9780073383095

The full step-by-step solution to problem: 25E from chapter: 3.2 was answered by , our top Math solution expert on 06/21/17, 07:45AM. This full solution covers the following key subjects: Big, estimate, functions, give, good. This expansive textbook survival guide covers 101 chapters, and 4221 solutions. Since the solution to 25E from 3.2 chapter was answered, more than 265 students have viewed the full step-by-step answer. The answer to “Give as good a big-O estimate as possible for each of these functions.a) (n2 + 8)(n + 1)________________b) (n log n + n2)(n3 + 2)________________c) (n! + 2n)(n3 + log(n2 + 1))” is broken down into a number of easy to follow steps, and 32 words. Discrete Mathematics and Its Applications was written by and is associated to the ISBN: 9780073383095. This textbook survival guide was created for the textbook: Discrete Mathematics and Its Applications, edition: 7.

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