2- Prove thatthe following statements are true (7) or false (F). (let log n = log2n). You must define first what you are trying to prove using the limit definition. a) n³/logn O(n), for any integer constant 2 ≤ k≤ 4. b) n+nlogne (n²), for any positive integer constant k. c) nlogn³ O(n), for any integer constant k>2.

2- Prove thatthe following statements are true (7) or false (F). (let log n = log2n). You must define first what you are trying to prove using the limit definition. a) n³/logn O(n), for any integer constant 2 ≤ k≤ 4. b) n+nlogne (n²), for any positive integer constant k. c) nlogn³ O(n), for any integer constant k>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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2- Prove that the following statements are true (7) or false (F). (let log n = log2 n). You must define first what you are trying to prove using the limit definition. a) n³/log n = O(n), for any integer constant 2 ≤ k ≤ 3. E b) n+nlog n = (n log n), for any positive integer constant k. c) n log n² = Q(), for any integer constant k> 0.