. For n = 0, 1, 2, 3,..., let an = (a) Find lim sup(an)¹/", lim inf(an)¹/", lim sup|ªn+¹| and lim inf | ªn+³|. (b) Do the series Σªn and Σ(-1)"ªn converge? (c) Consider the power series and with coefficients an as above. Find the radius of con- vergence and determine the exact interval of convergence for the series.

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