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27. Show the correctness of the following statements. (a) lg n E O (n) (b) n E O (n lg n) (c) п 1g nE O(n?) (d) 2" E Q sln n (е) Ig3 n € (n95)

27. Show the correctness of the following statements. (a) lg n E O (n) (b) n E O (n lg n) (c) п 1g nE O(n?) (d) 2" E Q sln n (е) Ig3 n € (n95)

Database System Concepts
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
Section: Chapter Questions
Problem 1PE
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please solve Only C and E

Use L'Hôpital's rule for both 

27. Show the correctness of the following statements. (а) lg n EO (n) (b) nEO (n lg n) (c) n lg nE O(n²) (d) 2" EQ sin n (e) lg³ n E (nº.5) 5ln
Transcribed Image Text:27. Show the correctness of the following statements. (а) lg n EO (n) (b) nEO (n lg n) (c) n lg nE O(n²) (d) 2" EQ sin n (e) lg³ n E (nº.5) 5ln
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