For each statement below, if the statement is true, then prove that it is true. If it is false, give a counterexample showing where it fails. 1. If f(x) = O(g(x)) and g(x) = O(h(x)), then f(x) = O(h(x)). 2. If g(x) = O(f(x)) and h(x) = O(g(x)), then f(x) = O(h(x)). 3. For any two functions f and g, either f(x) = O(g(x)) or g(x) = O(f(x))

For each statement below, if the statement is true, then prove that it is true. If it is false, give a counterexample showing where it fails. 1. If f(x) = O(g(x)) and g(x) = O(h(x)), then f(x) = O(h(x)). 2. If g(x) = O(f(x)) and h(x) = O(g(x)), then f(x) = O(h(x)). 3. For any two functions f and g, either f(x) = O(g(x)) or g(x) = O(f(x))

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter4: Polynomial And Rational Functions

Section4.6: Variation

Problem 7E

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