: Rate of growth. For the following functions, please list them again but in the order of their asymptotic growth rates, from the least to the greatest, using "<" and ">" symbols (with quotes). For those functions with the same asymptotic growth rate, please separate them by the "=" symbol with quotes. log₂ (n!), 3", (log, n)", log2 n", (logio n)10, logio n¹0, √n, 5"/2, n!, 2" Hint: First divide the functions into polygons, polynomials, exponentials, and super-exponentials. Then you can compare the functions in the same bucket using limits. etc to sort them further.
: Rate of growth. For the following functions, please list them again but in the order of their asymptotic growth rates, from the least to the greatest, using "<" and ">" symbols (with quotes). For those functions with the same asymptotic growth rate, please separate them by the "=" symbol with quotes. log₂ (n!), 3", (log, n)", log2 n", (logio n)10, logio n¹0, √n, 5"/2, n!, 2" Hint: First divide the functions into polygons, polynomials, exponentials, and super-exponentials. Then you can compare the functions in the same bucket using limits. etc to sort them further.
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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Transcribed Image Text:: Rate of growth. For the following functions, please list them again
but in the order of their asymptotic growth rates, from the least to the greatest,
using "<" and ">" symbols (with quotes). For those functions with the same
asymptotic growth rate, please separate them by the "=" symbol with quotes.
log₂ (n!), 3", (log2 n)", log₂ n", (log10 n)10, log10 n¹0, √n, 5¹/2, n!, 2n
Hint: First divide the functions into polygons, polynomials, exponentials, and
super-exponentials. Then you can compare the functions in the same bucket using limits
etc to sort them further.
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