   Chapter 11.2, Problem 9ES ### Discrete Mathematics With Applicat...

5th Edition
EPP + 1 other
ISBN: 9781337694193

#### Solutions

Chapter
Section ### Discrete Mathematics With Applicat...

5th Edition
EPP + 1 other
ISBN: 9781337694193
Textbook Problem
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# In 4—9, express each statement using Ω -, O-, or Θ -notation.9. n 3 6 ≤ n 2 ( ⌈ n 3 ⌉ − 1 ) ≤ n 3 for every integer n ≥ 2 . (Use Θ −notation.)

To determine

Express each statement using Ω,O, or Θ_ notation.

12x2|3x280x+71|3|x2| for all real numbers x>25.

Explanation

Given information:

12x2|3x280x+71|3|x2| for all real numbers x>25.

Concept used:

Θnotation is used for solving this problem.

Calculation:

It is required to express the given expression using Big theta notation. The given statement is

12x2|3x280x+71|3|x2| for all real numbers x>25.

Let f(x)=3x280x+7, g(x)=x2 and h(x)=x2

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