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Show that x2 + 4x + 17 is O(x3) but that x3 is not O(x2 +

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

Solution for problem 9E 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 9E

Show that x2 + 4x + 17 is O(x3) but that x3 is not O(x2 + 4x + 17).

Step-by-Step Solution:

SolutionStep 1Let us assume that x > 1 then So, the first term that is will influence.Then, instead of we can write as .Because will grow as slow as And the second term is also an influence because x will grow as slow as Hence, Where n = 3, C = 22 and k = 1So the growth of the function is...

Step 2 of 3

Chapter 3.2, Problem 9E is Solved
Step 3 of 3

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

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. The answer to “Show that x2 + 4x + 17 is O(x3) but that x3 is not O(x2 + 4x + 17).” is broken down into a number of easy to follow steps, and 19 words. This full solution covers the following key subjects: show. This expansive textbook survival guide covers 101 chapters, and 4221 solutions. Since the solution to 9E from 3.2 chapter was answered, more than 242 students have viewed the full step-by-step answer. The full step-by-step solution to problem: 9E from chapter: 3.2 was answered by , our top Math solution expert on 06/21/17, 07:45AM.

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