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
Prove Theorem D as follows: Let
(a) Show that the series

(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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