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###### Work Problem 2 (45 points). (a) (10 points) Use the power series representation 1- Zizo x" to find a power series representation for the function f(x) 6+1 (6) (20 points) Find the radius of convergence and interval of convergence of the series (-1)" Eaz] n'3" (c) (15 points) Find the Maclaurin series (that is, the Taylor series centered at a = 0) of the function f(x) ex

Work Problem 2 (45 points). (a) (10 points) Use the power series representation 1- Zizo x" to find a power series representation for the function f(x) 6+1 (6) (20 points) Find the radius of convergence and interval of convergence of the series (-1)" Eaz] n'3" (c) (15 points) Find the Maclaurin series (that is, the Taylor series centered at a = 0) of the function f(x) ex

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