Computer Science Homework Solutions
Problem
#177377

Prove that the big-O relationship is transitive

Prove that the big-O relationship is transitive (give a direct proof). That is, if f(n), g(n) and h(n) are positive-valued functions:

if f(n) is Ο(g(n)) and g(n) is Ο(h(n)) then f (n) is Ο(h(n))

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Debraj Banerjee, MIT (IP) - 4.8/5
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