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15E Show that (n log n + n2)3 is ).n

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

Solution for problem 15E Chapter 3.SE

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 15E

?15E Show that (n ? ? log ?n? + ?n?2)3 is ?? ).n

Step-by-Step Solution:

Solution: Step 1 For two given functions f(x) and h(x), we can say that f(x) is O(h(x)) if and only if there exists two constants B and l , such that |f(x)| B|h(x)| whenever x > l . In this problem we need to prove that (n log n + n ) is O(n ). 6

Step 2 of 2

Chapter 3.SE, Problem 15E is Solved
Textbook: Discrete Mathematics and Its Applications
Edition: 7
Author: Kenneth Rosen
ISBN: 9780073383095

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15E Show that (n log n + n2)3 is ).n

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