X 2 multiplying both sides of 1 1 x 2 n 1nxn 1 byx 2

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(1-x)2.
(c) Differentiate both sides of your result from (b) to obtain a series with coefficients 1·2,2·3,3·4, . . ..
(d) Multiply the result from (c) byxto obtain the desired power series.
(e) Substitute in the appropriatex-value to determine the sum ofn=1n(n+ 1)2n+1.)

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