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Find the least integer n such that f(x) is O(xn) for each

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

Solution for problem 7E 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 7E

Find the least integer n such that f(x) is O(xn) for each of these functions.a) f(x) = 2x3+x2logx________________b) f(x) = 3x3 + (logx)4________________c) f(x) = (x4 + x2 + 1)/(x3+ 1)________________d) f(x) = (x4 + 51ogx)/(x4 + 1)

Step-by-Step Solution:

SolutionStep 1In this Problem, we have to find the least n such that f(x) is O()a) f(x) = Here log x is less than x so it grows slowly as compared to x, is less than so it also grow very slowly as compared to , So the first term influence.Hence, the function is O( ).So, n 3 = +Here, n = 3, C = 3 and k = 1Step 2b) Here,log x is less than x so it grows slowly as compared to x, is less than so it also grows very slowly as compared to , So the second term influence.Hence, the function is O().So, n 3 = = 4Here, n = 3, C = 4 and k = 1Step...

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Chapter 3.2, Problem 7E is Solved
Step 3 of 3

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

This textbook survival guide was created for the textbook: Discrete Mathematics and Its Applications, edition: 7. Since the solution to 7E from 3.2 chapter was answered, more than 414 students have viewed the full step-by-step answer. Discrete Mathematics and Its Applications was written by and is associated to the ISBN: 9780073383095. This full solution covers the following key subjects: log, Find, Integer, least, functions. This expansive textbook survival guide covers 101 chapters, and 4221 solutions. The answer to “Find the least integer n such that f(x) is O(xn) for each of these functions.a) f(x) = 2x3+x2logx________________b) f(x) = 3x3 + (logx)4________________c) f(x) = (x4 + x2 + 1)/(x3+ 1)________________d) f(x) = (x4 + 51ogx)/(x4 + 1)” is broken down into a number of easy to follow steps, and 38 words. The full step-by-step solution to problem: 7E from chapter: 3.2 was answered by , our top Math solution expert on 06/21/17, 07:45AM.

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