(Requires calculus) The two parts of this exercise

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

Problem 67E Chapter 3.2

Discrete Mathematics and Its Applications | 7th Edition

  • 2901 Step-by-step solutions solved by professors and subject experts
  • Get 24/7 help from StudySoup virtual teaching assistants
Discrete Mathematics and Its Applications | 7th Edition | ISBN: 9780073383095 | Authors: Kenneth Rosen

Discrete Mathematics and Its Applications | 7th Edition

4 5 0 237 Reviews
23
1
Problem 67E

(Requires calculus) The two parts of this exercise describe the relationship between little-o and big-O notation.

a) Show that if f(x) and, g(x) are functions such that f(x) is o(g(x)), then f(x) is O(g(x)).

b) Show that if f(x) and g(x) are functions such that f(x) is O(g(x)), then it does not necessarily follow that f(x) is o(g(x)).

Step-by-Step Solution:

Step 1:

In this problem, we have to show that the relation between big-O and little-o for the function.

Step 2:

The definition for Big- O:

Let f and g be functions from the real numbers to the real numbers. Then f is O(g) if there are constants c and k

Such that                           

That means O(g(x)) is the set of all functions with a smaller or the same order of growth as f(x).

Example:     O(x2) = {x2 , 50x +40 , logx,.....}

The definition for little-o:

Let f and g are two functions, and o(g(x)) is the set of all functions with a smaller rate of growth than f(x).

Example:  o(x2) = {50x +40, logx,...}

Step 3 of 4

Chapter 3.2, Problem 67E is Solved
Step 4 of 4

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

This full solution covers the following key subjects: such, show, functions, necessarily, follow. This expansive textbook survival guide covers 101 chapters, and 4221 solutions. The full step-by-step solution to problem: 67E from chapter: 3.2 was answered by , our top Math solution expert on 06/21/17, 07:45AM. Since the solution to 67E from 3.2 chapter was answered, more than 229 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 textbook survival guide was created for the textbook: Discrete Mathematics and Its Applications, edition: 7th. The answer to “(Requires calculus) The two parts of this exercise describe the relationship between little-o and big-O notation.a) Show that if f(x) and, g(x) are functions such that f(x) is o(g(x)), then f(x) is O(g(x)).________________b) Show that if f(x) and g(x) are functions such that f(x) is O(g(x)), then it does not necessarily follow that f(x) is o(g(x)).” is broken down into a number of easy to follow steps, and 56 words.

Unlock Textbook Solution

Enter your email below to unlock your verified solution to:

(Requires calculus) The two parts of this exercise

×
Log in to StudySoup
Get Full Access to Discrete Mathematics And Its Applications - 7th Edition - Chapter 3.2 - Problem 67e

Forgot password? Reset password here

Join StudySoup for FREE
Get Full Access to Discrete Mathematics And Its Applications - 7th Edition - Chapter 3.2 - Problem 67e
Join with Email
Already have an account? Login here
Reset your password

I don't want to reset my password

Need help? Contact support

Need an Account? Is not associated with an account
Sign up
We're here to help

Having trouble accessing your account? Let us help you, contact support at +1(510) 944-1054 or support@studysoup.com

Got it, thanks!
Password Reset Request Sent An email has been sent to the email address associated to your account. Follow the link in the email to reset your password. If you're having trouble finding our email please check your spam folder
Got it, thanks!
Already have an Account? Is already in use
Log in
Incorrect Password The password used to log in with this account is incorrect
Try Again

Forgot password? Reset it here