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Use the definitions of O notations, N notations and O notations to give a direct proof that function f (n) = [n] is O(n). Remind that [n] = max{x € Z | x < n }, for example, [3] = 3, [T] = 3, [-2.5] = –3. %3D

Use the definitions of O notations, N notations and O notations to give a direct proof that function f (n) = [n] is O(n). Remind that [n] = max{x € Z | x < n }, for example, [3] = 3, [T] = 3, [-2.5] = –3. %3D

College Algebra
College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter3: Functions
Section3.3: Rates Of Change And Behavior Of Graphs
Problem 2SE: If a functionfis increasing on (a,b) and decreasing on (b,c) , then what can be said about the local...
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Use the definitions of 0 notations, N notations and O notations to give a direct proof that function f (n) is O(n). Remind that [n] = max{x € Z| x <n }, for example, [3] = 3, [T] = 3, [–2.5] = -3. 3. [n] %3D
Transcribed Image Text:Use the definitions of 0 notations, N notations and O notations to give a direct proof that function f (n) is O(n). Remind that [n] = max{x € Z| x <n }, for example, [3] = 3, [T] = 3, [–2.5] = -3. 3. [n] %3D
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