Prove Theorem D as follows: Let (a) Show that the series converges for |x| (b) Show that

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Prove Theorem D as follows: Let

(a) Show that the series converges for |x| (b) Show that (1 + x)f'(x) = pf(x) and f(0) = 1.
(c) Solve this differential equation to get f(x) = (1 + x)p?

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Calculus

ISBN: 978-0131429246

9th edition

Authors: Dale Varberg, Edwin J. Purcell, Steven E. Rigdon

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Question Posted: Jun 21, 2016 10:37 AM

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Prove Theorem D as follows: Let (a) Show that the series converges for |x| (b) Show that

Question:

f(x) = 1 + )-

Step by Step Answer:

a For Thus Converges for x 1 b It is clear that f0 1 Since A...View the full answer

Calculus

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