   Chapter 11.2, Problem 6ES ### 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.6. n 2 ≤ 3 n ( n − 2 ) ≤ 4 n 2 for every integer n ≥ 3 . (Use Θ −notation.)

To determine

The statement using Θ -notation.

Explanation

Given information:

n23n(n2)4n2.

Concept used:

Let f and g be real-valued functions defined on the same set of nonnegative integers, with g(n)0 for every integer nr, where r is a positive real number. Then f is of order g, written f ( n ) is Θ ( g ( n )) ( f of n is big-Theta of g of n ), if and only if, there exist positive real numbers A, B and kr such that

Ag(n)f(n)Bg(n) for every integer nk.

Calculation:

Consider the statement, “ n23n(n2)4n2 for every integer n3

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