(a) Use Equation 1 to find a power series representation for f(x) = ln(1 x). What...

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(a) Use Equation 1 to find a power series representation for f(x) = ln(1 – x). What is the radius of convergence?

(b) Use part (a) to find a power series for f(x) = x ln(1 – x).

(c) By putting x = 1/2 in your result from part (a), express ln 2 as the sum of an infinite series.

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Calculus Early Transcendentals

ISBN: 9781337613927

9th Edition

Authors: James Stewart, Daniel K. Clegg, Saleem Watson, Lothar Redlin

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