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Given the function f(n) = n² – n, show that f(n) E O(n²). Big.O.n: What is the smallest, positive integer no that can be used to show f(n) E O(n²)? Big.O.c: What is the smallest, positive integer c E Z†, that can be used with the no from the previous question, to show f(n) E O(n²)?

Given the function f(n) = n² – n, show that f(n) E O(n²). Big.O.n: What is the smallest, positive integer no that can be used to show f(n) E O(n²)? Big.O.c: What is the smallest, positive integer c E Z†, that can be used with the no from the previous question, to show f(n) E O(n²)?

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Calculating c and n_0 Given the function f(n) = n² – n, show that f(n) E O(n²). Big.O.n: What is the smallest, positive integer no that can be used to show f(n) E O(n²)? Big.O.c: What is the smallest, positive integer c E Z*, that can be used with the no from the previous question, to show f(n) E O(n²)?
Transcribed Image Text:Calculating c and n_0 Given the function f(n) = n² – n, show that f(n) E O(n²). Big.O.n: What is the smallest, positive integer no that can be used to show f(n) E O(n²)? Big.O.c: What is the smallest, positive integer c E Z*, that can be used with the no from the previous question, to show f(n) E O(n²)?
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