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Question 1e Letf.9 N-N be functions. For each of the following statements, mark whether the statement, potentially together with an application of the racetrack principle, implies that f(a)O(g(e)) •(4) ≤ (4) and g(n) 2 r(e) for every as 100. 4 (10) 10-g(10) and g(n) 2 (n) for every 2 100 • f.g are increasing functions, f(50) 59(25) and g(n) 2 r(e) for every 22 : f.g are increasing functions, r(16) 2 9(20), and g(n) 2 r(n) for every a 2 15. :

Question 1e Letf.9 N-N be functions. For each of the following statements, mark whether the statement, potentially together with an application of the racetrack principle, implies that f(a)O(g(e)) •(4) ≤ (4) and g(n) 2 r(e) for every as 100. 4 (10) 10-g(10) and g(n) 2 (n) for every 2 100 • f.g are increasing functions, f(50) 59(25) and g(n) 2 r(e) for every 22 : f.g are increasing functions, r(16) 2 9(20), and g(n) 2 r(n) for every a 2 15. :

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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Question 1e Let f.9 N-N be functions. For each of the following statements, mark whether the statement, potentially together with an application of the racetrack principle, implies that f(n) €0(g(n)). • f(4) ≤g(4) and g(n) 2 f(n) for every as 100. f(10) 10-g(10) and g(n) 2 r(n) for every n 2 100. f.gare increasing functions, f(50) ≤ 9(25), and g(n) 2 f(n) for every 2 2 : f.g are increasing functions, r(16) 2 9(20), and g(n) 2 r(n) for every n 2 15. #
Transcribed Image Text:Question 1e Let f.9 N-N be functions. For each of the following statements, mark whether the statement, potentially together with an application of the racetrack principle, implies that f(n) €0(g(n)). • f(4) ≤g(4) and g(n) 2 f(n) for every as 100. f(10) 10-g(10) and g(n) 2 r(n) for every n 2 100. f.gare increasing functions, f(50) ≤ 9(25), and g(n) 2 f(n) for every 2 2 : f.g are increasing functions, r(16) 2 9(20), and g(n) 2 r(n) for every n 2 15. #
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