a) f(n) = 3n³ log³n + 2n/n + 5nº n² + 5n log“ n log n .2 b) f(n) = 5n + 3; c) f(n) = 4"n² + 5" + n³ log n

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
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Computer Science

 

Give asymptotic estimates, using the Θ-notation, for the following functions. Justify your answer, using asymptotic relations between common functions. 

a) f(n) = 3n³ log° n+ 2n/n + 5nº
n2
+ 5n logʻ n
log n
b) f(n) = 5n +3:
c) f(n) = 4"n² + 5" + n³ log n
Transcribed Image Text:a) f(n) = 3n³ log° n+ 2n/n + 5nº n2 + 5n logʻ n log n b) f(n) = 5n +3: c) f(n) = 4"n² + 5" + n³ log n
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