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15. Starting with the geometric series 1 + x + x + x + ... (1 < x < 1), find the power series


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15. Starting with the geometric series 1 + x + x + x + ... (1 < x < 1), find the power series for in powers of x. (1-x)2 (a) Where is the series valid? (b) Using the result in (a) find the sum n 2n 1

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