(Requires calculus) Show that if d is positive and b > I, then nd is O(bn) but bn is not O(nd).
In this problem we have to show that if d is a positive and b > 1, then but .
Function is called if there exist constant c and k such that
We have , and d is positive
We get indeterminate form.
So, using L’ hospital’s rule
Using again and again we get,
We can express
Textbook: Discrete Mathematics and Its Applications
Author: Kenneth Rosen
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 “(Requires calculus) Show that if d is positive and b > I, then nd is O(bn) but bn is not O(nd).” is broken down into a number of easy to follow steps, and 21 words. Since the solution to 59E from 3.2 chapter was answered, more than 291 students have viewed the full step-by-step answer. The full step-by-step solution to problem: 59E from chapter: 3.2 was answered by , our top Math solution expert on 06/21/17, 07:45AM. This full solution covers the following key subjects: Calculus, Positive, requires, show. This expansive textbook survival guide covers 101 chapters, and 4221 solutions.