5. Using the following definition of O notation, evaluate if f (n) = 3n + 2 E 0(nlog(n)) ? (To evaluate, you must find values for constants c and no). o(g(n)) = {f(n)|3c > 0, no > 0 s.t. 0 < f(n) < cg (n), Vn 2 no}

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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Hello, I'm doing a Data Structure project and I don't know how to answer this, could you help me?

5. Using the following definition of O notation, evaluate if f(n) = 3n + 2 € 0(nlog(n)) ?
(To evaluate, you must find values for constants c and no).
o(g(n)) = {f(n) |3c > 0, no > 0 s.t. 0 < f(n) < cg(n), Vn > no}
Hint: g(n) = nlog(n)|
Transcribed Image Text:5. Using the following definition of O notation, evaluate if f(n) = 3n + 2 € 0(nlog(n)) ? (To evaluate, you must find values for constants c and no). o(g(n)) = {f(n) |3c > 0, no > 0 s.t. 0 < f(n) < cg(n), Vn > no} Hint: g(n) = nlog(n)|
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