In Exercises 88 and 89, we investigate the convergence of the binomial series Ta(x) =

Chapter 10, Problem 88

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In Exercises 88 and 89, we investigate the convergence of the binomial series Ta(x) = n=0 a n xn Prove that Ta(x) has radius of convergence R = 1 if a is not a whole number. What is the radius of convergence if a is a whole number?

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