We investigate the convergence of the binomial series Prove that T a (x) has radius of convergence

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We investigate the convergence of the binomial series

Ta(x) = M8 n=0

Prove that T_a(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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Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

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Question Posted: Dec 19, 2023 06:28 AM

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We investigate the convergence of the binomial series Prove that T a (x) has radius of convergence

Question:

Ta(x) = M8 Σ n=0

Step by Step Answer:

Suppose that a is not a whole number Then a is never zero Moreover a n1 a a 1 ...View the full answer

Calculus

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