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Please help me with this exercise involving power series and computing the term by term derivative. 7. Perform the indicated calculation. OO 1 2 (a)

Please help me with this exercise involving power series and computing the term by term derivative.

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7. Perform the indicated calculation. OO 1 2 (a) Given that x", determine the power series for 1 - x 1 + 2 k=0 OO 2 (b) Compute the term-by-term derivative of aka". Assume that the series converges. k=0 OO 2 (c) Compute the term-by-term integral: Cakack. Assume that the series converges. k=0

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