(a) 5n¹ +5n³+ n² (b) n².5log5n+n³ logn +5n³ (c) 5n³ logn +4n³ √n +3n²
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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Transcribed Image Text:Problem 3: Give asymptotic estimates, using the e-notation, for the following functions:
(a) 5n¹ +5n³ + n²
(b) n².5log5n+n³ logn +5n³
(c) 5n³ log n +4n³ √n +3nª
(d) 3 n5+n² logn + n.3n
(e) n5 +n².6n + n. 4n
Justify your answer, using asymptotic relations between the basic reference functions: nº, log n, and cn.
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