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Q14. Consider the power series (x - 1)n M 3n n + 2 (a) [1 point] What is the center of this power series? (No

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Q14. Consider the power series (x - 1)n M 3n n + 2 (a) [1 point] What is the center of this power series? (No justification needed.) (b) [2 points] Show that the radius of convergence of this power series is R = 3. Justify your answer, and clearly state the name the test you are using. (c) [3 points] Determine the interval of convergence of this power series. Justify your answer, and clearly state the names of the tests you are using to determine convergence at the endpoints

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