Show that if f and g are real-valued functions such that

Chapter 2, Problem 39E

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QUESTION:

Problem 39E

Show that if f and g are real-valued functions such that f(x) is O(g(x)), then for every positive integer n, fn(x) is O(gn(x)). [Note that fn(x) = f(x)n.]

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QUESTION:

Problem 39E

Show that if f and g are real-valued functions such that f(x) is O(g(x)), then for every positive integer n, fn(x) is O(gn(x)). [Note that fn(x) = f(x)n.]

ANSWER:

Solution:

Step1:

In this problem, we have to prove that for every positive integer n, fn(x) is O(gn(x))  [Note that fn(x) = f(x)n.]

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