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Write the following functions in ascending order of growth rate. That is, if function g(n) immediately follows function f(n) in your list, then it should be the case that f(n) = O(g(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

Section: Chapter Questions

Problem 1PE

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Concept explainers

Topological Sort

Topological sort is a sorting technique that sets up a hierarchy in a process. In this technique, when a directed network has nodes connected by arrows, the root node is placed before the successor node.

Question

Write the following functions in ascending order of growth rate. That is, if function g(n) immediately
follows function f(n) in your list, then it should be the case that f(n) = O(g(n)).
fi (n) = 5"
f2 (n)=lg(n5)
f3 (n) = ( 2 ) 5 √n
f4 (n) = n5
fs (n) = n!
fe (n) = lg (n)

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