Sort the following functions in terms of asymptotic growth from smallest to largest. In particular, the resulting order should be such that ƒ₁=0(ƒ₂)), ƒ₂=0 (f 3), and so on. 2 I I I I ~(2) V3" ✓ log₁4 (²3) 14 1 10 10 ✓nln(12n) ✓ 52! ✓ n 11/10 log ²(n) ✓ 202⁰n 0.1

Sort the following functions in terms of asymptotic growth from smallest to largest. In particular, the resulting order should be such that ƒ₁=0(ƒ₂)), ƒ₂=0 (f 3), and so on. 2 I I I I ~(2) V3" ✓ log₁4 (²3) 14 1 10 10 ✓nln(12n) ✓ 52! ✓ n 11/10 log ²(n) ✓ 202⁰n 0.1

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

Recurrence relation

A recurrence relation or recursive relation is an equation that represents a function in terms of the values of its smaller inputs. Every recurrence relation T(n) is a recursive function of integer n and consists of a base case and a recursive case.

Question

Sort the following functions in terms of asymptotic growth from
smallest to largest. In particular, the resulting order should be such
that f₁ =0(f₂), f₂=0 (f 3), and so on.
1
2
I
I
I
-
✓ 3"
✓ log (23)
14
1
1010
n
11/10
✓ nln(12n)
✓ 52!
✓ log_²(n)
✓20200.1

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