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5. Consider the function f(x) = 1 1x + 59 (7 + 4x) (8 -3x) a. Perform a partial fraction expansion on f(x). b. Expand

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5. Consider the function f(x) = 1 1x + 59 (7 + 4x) (8 -3x) a. Perform a partial fraction expansion on f(x). b. Expand each term in (a) into a power series. c. Combine the two series in (b) into a single series, in the standard form where on will be the sum of two expressions. d. What is the interval of convergence for this power series? Explain how you got your

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