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1. Express the function as the sum of a power series by first using partial fractions. (Give your power series representation centered at x =

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Express the function as the sum of a power series by first using partial fractions. (Give your power series representation centered at x = 0.) 2x - 5 f(x ) =. x2 - 5x + 4 f ( x ) = (-1)" 1 + 1 X' in+1 n = 0 XFind a power series representation for the function. (Give your power series representation centered at x = 0.) 4 _ X 900 1+)(5 S) n={] Use a power series to approximate the definite integral, I, to six decimal places. 0.3 4 f X clx I) 1 + x5

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