Question: Algorithms and Analysis Asymptotic notation 1. Prove that if f(n) O(g(n)) then g(n) (f(n)) 2. Prove that o(f(n)) (f(n)) = Substitution method T(n)=3T(2n)+O(n4) First use

Algorithms and Analysis

Asymptotic notation

1. Prove that if f(n) O(g(n)) then g(n) (f(n))

2. Prove that o(f(n)) (f(n)) =

Algorithms and Analysis Asymptotic notation 1. Prove that if f(n) O(g(n)) then

Substitution method T(n)=3T(2n)+O(n4) First use the master method to find the Upper bound(find O ), and then use the Substitution method to prove it is correct. T(n)={3T(2n)+O(n4)1n2n

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