Problem 16E

Show that 8x3 + 12x + 100 logx is O(x3).

Solution:

Step 1

For two given functions and , we can say that is if and only if there exists two constants B and l , such that whenever .

In this problem we are asked to show that is .

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

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Problem 16E

Problem 16E

Show that 8x3 + 12x + 100 logx is O(x3).

Step-by-Step Solution:
##### Textbook: Discrete Mathematics and Its Applications

##### Edition: 7

##### Author: Kenneth Rosen

##### ISBN: 9780073383095

Solution:

Step 1

For two given functions and , we can say that is if and only if there exists two constants B and l , such that whenever .

In this problem we are asked to show that is .

Step 2 of 3
###### Chapter 3.SE, Problem 16E is Solved

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Step 3 of 3

The full step-by-step solution to problem: 16E from chapter: 3.SE was answered by , our top Math solution expert on 06/21/17, 07:45AM. Since the solution to 16E from 3.SE chapter was answered, more than 283 students have viewed the full step-by-step answer. The answer to “Show that 8x3 + 12x + 100 logx is O(x3).” is broken down into a number of easy to follow steps, and 10 words. This textbook survival guide was created for the textbook: Discrete Mathematics and Its Applications, edition: 7. Discrete Mathematics and Its Applications was written by and is associated to the ISBN: 9780073383095. This full solution covers the following key subjects: logx, show. This expansive textbook survival guide covers 101 chapters, and 4221 solutions.

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Show that 8x3 + 12x + 100 logx is O(x3).