Use the power series representation of f(x) = 1/(1 x) 2 and the fact that 9801

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Use the power series representation of f(x) = 1/(1 – x)² and the fact that 9801 = 99² to show that 1/9801 is a repeating decimal that contains every two digit number in order, except for 98, as shown.

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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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Question Posted: May 20, 2021 06:46 AM

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Use the power series representation of f(x) = 1/(1 x) 2 and the fact that 9801

Question:

1 0.00 01 02 03... 96 97 99 %3| 9801

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By Example 4 with radius of convergence R 1 We wish to substitute a value ...View the full answer

Calculus Early Transcendentals

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