Consider the following functions: • log₂ x ● X. (3/2)* ● x/log₂ x • 2 ● • log₂ x ● ●x² ● √x (log₂ x)² (1/3)* You are told that, functions above represent the number of operations carried out by a set of algorithms that do the same job, albeit in different ways. Order the functions from slowest growth rate to the fastest growth rate (i.e., sort the algorithms from fastest to slowest). Explain your reasoning for consecutively ordered functions, possibly by using the limit method, to get credit.

Consider the following functions: • log₂ x ● X. (3/2)* ● x/log₂ x • 2 ● • log₂ x ● ●x² ● √x (log₂ x)² (1/3)* You are told that, functions above represent the number of operations carried out by a set of algorithms that do the same job, albeit in different ways. Order the functions from slowest growth rate to the fastest growth rate (i.e., sort the algorithms from fastest to slowest). Explain your reasoning for consecutively ordered functions, possibly by using the limit method, to get credit.

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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