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3-1 Asymptotic behavior of polynomials Let p(n) = d [a¡n², Sain', i=0 where ad > 0, be a degree-d polynomial in n, and let k be a constant. Use the definitions of the asymptotic notations to prove the following properties.

3-1 Asymptotic behavior of polynomials Let p(n) = d [a¡n², Sain', i=0 where ad > 0, be a degree-d polynomial in n, and let k be a constant. Use the definitions of the asymptotic notations to prove the following properties.

Database System Concepts
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
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3-1 Asymptotic behavior of polynomials Let p(n) = Sain' , i=0 where ad > 0, be a degree-d polynomial in n, and let k be a constant. Use the definitions of the asymptotic notations to prove the following properties.
Transcribed Image Text:3-1 Asymptotic behavior of polynomials Let p(n) = Sain' , i=0 where ad > 0, be a degree-d polynomial in n, and let k be a constant. Use the definitions of the asymptotic notations to prove the following properties.
c. If k = d, then p(n) = Ⓒ(nk).
Transcribed Image Text:c. If k = d, then p(n) = Ⓒ(nk).
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