List these functions so that each function is big- O of

Chapter 3, Problem 4RQ

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QUESTION:

List these functions so that each function is big- \(O\) of the next function in the list: \((\log n)^{3}, n^{3} / 1000000, \sqrt{n}, 100 n+101,3^{n}, n !, 2^{n} n^{2} .\)

Equation Transcription:

, , , , ,

Text Transcription:

(log n)^3

n^3/1000000, square root n, 100n + 101, 3^n, n!, 2^n n^2

Questions & Answers

QUESTION:

List these functions so that each function is big- \(O\) of the next function in the list: \((\log n)^{3}, n^{3} / 1000000, \sqrt{n}, 100 n+101,3^{n}, n !, 2^{n} n^{2} .\)

Equation Transcription:

, , , , ,

Text Transcription:

(log n)^3

n^3/1000000, square root n, 100n + 101, 3^n, n!, 2^n n^2

ANSWER:

Solution:

Step 1:

In this problem, we need to arrange the list of these functions so that each function is big-O of the next function.

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