Let d p(n) = [a¡n', 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.

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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.
e. If k <d, then p(n) = w(nk).
Transcribed Image Text:e. If k <d, then p(n) = w(nk).
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