Answered: 3. Prove each of the following…

3. Prove each of the following statements without using limits. Justify your answer. (a) n³ + 3n² = Q(n²) (b) 2(n-1) (2-2) (c) (log n²) = o(log n)² (d) 2(n+1) = O(4") (e) 22 € (2")

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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Question

3. Prove each of the following statements without using limits. Justify your answer.
(a) n³ + 3n² = Q(n²)
(b) 2(n-1)
(2-2)
(c) (log n²) = o(log n)²
(d) 2(n+1) = O(4")
(e) 22 € (2")

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