a. Let m be any positive integer, and define f (x) = xm for all nonnegative real numbers
Chapter 11, Problem 21(choose chapter or problem)
a. Let m be any positive integer, and define \(f(x)=x^{m}\) for all nonnegative real numbers x. Use the binomial theorem to show that f is an increasing function.
b. Let m and n be any positive integers, and let \(g(x)=x^{m / n}\) for all nonnegative real numbers x. Prove that g is an increasing function.
The results of this exercise are used in the exercises for Sections 11.2 and 11.4.
Text Transcription:
f(x)=x^m
g(x)=x^m / n
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