Problem 3: Give asymptotic estimates, using the O-notation, for the following functions: (а) 4n' + 3n$ + 2n + 3 (b) n³log°n + n3.5log² n + 5n³log4 n (c) 3n² + 2n/n + 5n² log³ n + 4Vn5 (d) 4 - п^ +п- (2.5)" + п3 log" n (e) nº + n² . 3" +n³ . 4"

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
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Problem 3: Give asymptotic estimates, using the O-notation, for the following functions:
(а) 4n' + 3п' +2n + 3
(b) n³log°n + n³.5log² n + 5n³log4 n
(c) 3n² + 2n/n + 5n² log³ n + 4vn5
2
(d) 4 · n4 +n · (2.5)" + n³ log²n
(е) п5 + п? . 3" + n3 .47
Justify your answer, using asymptotic relations between the basic reference functions: n', log n, and c".
Transcribed Image Text:Problem 3: Give asymptotic estimates, using the O-notation, for the following functions: (а) 4n' + 3п' +2n + 3 (b) n³log°n + n³.5log² n + 5n³log4 n (c) 3n² + 2n/n + 5n² log³ n + 4vn5 2 (d) 4 · n4 +n · (2.5)" + n³ log²n (е) п5 + п? . 3" + n3 .47 Justify your answer, using asymptotic relations between the basic reference functions: n', log n, and c".
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