a. Let m be any positive integer, and define f (x) = xm
Chapter 11, Problem 21E(choose chapter or problem)
a. Let m be any positive integer, and define f (x) = xm 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) = xm/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.
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