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(a) Find all the values of x for which the following geometric power series converges. (b) Find the rational expression to which this series converges.

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(a) Find all the values of x for which the following geometric power series converges. (b) Find the rational expression to which this series converges. (x-3)" n = 1 32nTest the series for convergence or divergence. In(n) n2 n = 2 [ Extra Credit 3 points if you verify convergence/divergence using two different methods. ] O

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