For each of the following pairs of functions ff and gg, circle one of the answers f \in o(g), f \in \Theta(g),fEo(g),f€0(g), or g \in o(f)gEo(f)

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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For each of the following pairs of functions
ff and gg, circle one of the answers f \in
o(g), f \in \Theta(g),fEo(g),fE0(g), or g \in
o(f)g€o(f)
f(n) = 2", g(n) = (;)
Oƒ € o(g9)
Oƒ€ 0(g)
O gE o(f)
%3D
%3D
i=log2 n
f(n) = E" 2', g(n) =n
Oƒ € o(g)
Oƒ€ 0(g)
O gE o(f)
%3D
%3D
f(n) = (210 + 3n)², g(n) = n²
Oƒe o(g)
Oƒ€ 0(g)
Oge o(f)
%3D
%3D
Transcribed Image Text:For each of the following pairs of functions ff and gg, circle one of the answers f \in o(g), f \in \Theta(g),fEo(g),fE0(g), or g \in o(f)g€o(f) f(n) = 2", g(n) = (;) Oƒ € o(g9) Oƒ€ 0(g) O gE o(f) %3D %3D i=log2 n f(n) = E" 2', g(n) =n Oƒ € o(g) Oƒ€ 0(g) O gE o(f) %3D %3D f(n) = (210 + 3n)², g(n) = n² Oƒe o(g) Oƒ€ 0(g) Oge o(f) %3D %3D
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