Answered: Prove, using the formal definition of…

Prove, using the formal definition of the asymptotic notation that: If t₁ (n) = 0(f₁(n)) and t₂ (n) € ☺(ƒ₂(n)) then t₁ (n) + t₂(n) € ✪(max(ƒ₁(n), ƒ₂(n)))

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

Prove, using the formal definition of the asymptotic notation that:
If t₁ (n) € 0(f₁ (n)) and t₂ (n) € ✪(ƒ₂ (n)) then t₁ (n) + t₂(n) € ☺(max(ƒ₁(n), ƒ₂ (n)))

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