Answered: True or false. Both f(n) = n^3 / log(n)…

True or false. Both f(n) = n^3 / log(n) and f(n) = n^3(log n)) satisfy the below: Give an example of a function f(n) where f(n) ∈ O(n^3+ε) but where f(n) ̸∈ O(n^3). Why or why not? Thank you!!

Operations Research : Applications and Algorithms

4th Edition

ISBN:9780534380588

Author:Wayne L. Winston

Publisher:Wayne L. Winston

Chapter23: Simulation With The Excel Add-in @risk

Section: Chapter Questions

Problem 9RP

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True or false. Both f(n) = n^3 / log(n) and f(n) = n^3(log n)) satisfy the below:

Give an example of a function f(n) where f(n) ∈ O(n^3+ε) but where f(n) ̸∈ O(n^3).

Why or why not? Thank you!!

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