True or False? Briefly justify your answers (d) If g(n) = O(f(n)) then cg(n) = O(f(n)) for any constant c as n → ∞. (e) If g(n) and f(n) are both O(h(n)) then g(n) + f(n) = O(h(n)) as n → ∞0.

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
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True or False? Briefly justify your answers
(d) If g(n) = O(f(n)) then cg(n) = O(f(n)) for
any constant c as n → ∞.
(e) If g(n) and f(n) are both O(h(n)) then
g(n) + f(n) = O(h(n)) as n → ∞.
Transcribed Image Text:True or False? Briefly justify your answers (d) If g(n) = O(f(n)) then cg(n) = O(f(n)) for any constant c as n → ∞. (e) If g(n) and f(n) are both O(h(n)) then g(n) + f(n) = O(h(n)) as n → ∞.
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