Theory and ExamplesThe sum of the series To find the sum

Chapter 10, Problem 60E

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Problem 60E

Theory and Examples

The sum of the series To find the sum of this series, express 1/(1 – x) as a geometric series, differentiate both sides of the resulting equation with respect to x, multiply both sides of the result by x, differentiate again, multiply by x again, and set x equal to 1/2. What do you get?

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