For each of the following pairs of functionsfln)f(n) and g(n)g(n), determine whetherOfin))=0(g(n)). Don't just indicate “yes" or "no";provide your reasoning.a. f(n) = log n² g(n) = log n + 5.b. f(n) = Vn g(n) = log n².c. f(n) = log² n g(n) = log n.d. f(n) = n g(n) = log² n.

I have provided the answer with justification below.

Answered: For each of the following pairs of…

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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For each of the following pairs of functions f(n)f(n) and g(n)g(n), determine whether Ofn))=0(g(n)). Don't just indicate "yes" or "no provide your reasoning. a. f(n) = log n² g(n) = log n + 5. b. f(n) = \ñ g(n) = log n².