a) Let f: Z+ R where f(n) = ni=1 1. When n = 4, for example,
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Consequently, f e Ω(n2).
Use
to provide an alternative proof that f ˆˆ Ω(n2).
(b) Let g: Z+ †’ R where g(n) = ˆ‘ni=1 i2- Prove that g ˆˆ Ω(n3).
(c) For t ˆˆ Z+, let h: Z+ †’ R where h(n) = ˆ‘ni=1 it.
Prove that h ˆˆ Ω(nt+1).
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Related Book For
Discrete and Combinatorial Mathematics An Applied Introduction
ISBN: 978-0201726343
5th edition
Authors: Ralph P. Grimaldi
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