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Choose the correct order of the following functions by asymptotic growth rate (smaller to bigger) Note: answer looks like 1 2 3 4 5 6 function 1: n² function 2: (2) function 3: Ign function 4: 10 function 5:8lgn function 6: n!

Choose the correct order of the following functions by asymptotic growth rate (smaller to bigger) Note: answer looks like 1 2 3 4 5 6 function 1: n² function 2: (2) function 3: Ign function 4: 10 function 5:8lgn function 6: n!

Database System Concepts
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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**Title: Understanding Asymptotic Growth Rates** **Instructions:** Choose the correct order of the following functions by asymptotic growth rate, from smaller to bigger. **Note:** Your answer should look like a sequence of numbers such as 1 2 3 4 5 6. 1. **Function 1:** \( n^2 \) 2. **Function 2:** \( (2)^n \) 3. **Function 3:** \( \log n \) 4. **Function 4:** 10 5. **Function 5:** \( 8^{\log n} \) 6. **Function 6:** \( n! \) **Explanation:** The task is to determine the asymptotic growth rate of these functions, ranking them from the smallest to the largest as \( n \) approaches infinity.
Transcribed Image Text:**Title: Understanding Asymptotic Growth Rates** **Instructions:** Choose the correct order of the following functions by asymptotic growth rate, from smaller to bigger. **Note:** Your answer should look like a sequence of numbers such as 1 2 3 4 5 6. 1. **Function 1:** \( n^2 \) 2. **Function 2:** \( (2)^n \) 3. **Function 3:** \( \log n \) 4. **Function 4:** 10 5. **Function 5:** \( 8^{\log n} \) 6. **Function 6:** \( n! \) **Explanation:** The task is to determine the asymptotic growth rate of these functions, ranking them from the smallest to the largest as \( n \) approaches infinity.
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