Which of the following function has the highest order of growth? O 100200 + 2n O n° O nt * log(n) 27 (2" +5)

COMPREHENSIVE MICROSOFT OFFICE 365 EXCE
1st Edition
ISBN:9780357392676
Author:FREUND, Steven
Publisher:FREUND, Steven
Chapter6: Creating, Sorting, And Querying A Table
Section: Chapter Questions
Problem 10EYK
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Which of the following function has the highest order of growth?
O 100200 + 2n
O n5
O nt log(n)
2Th
(2" +5)
Transcribed Image Text:Which of the following function has the highest order of growth? O 100200 + 2n O n5 O nt log(n) 2Th (2" +5)
Expert Solution
Step 1

Order of growth is defined as the growth of algorithm that is when the input size increases how the time for compuation increases. It describes the behavior of a process.

The order of growth for 100200 + 2n = O(n)

The order of growth for n5 = O(n5)

The order of growth for n4 * logn = O(n4logn) 

The order of growth for 2n / 2n + 5 = 2n + 5-5 / 2n + 5 = 1- 5 / 2n + 5 = O(1)

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