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(Solved): please do it with a clear typing for my analysis class 2. Let R be the radius of convergence of a po ...
please do it with a clear typing for my analysis class
2. Let R be the radius of convergence of a power series ?an?xn. Mark each statement True or False. Justify each answer. (a) R=limn????an+1?/an??, provided that this limit exists. (b) If 0<R<+?, then the interval of convergence is either an open interval or a closed interval. (c) If an??0 for all n, then for any x?R, the series ?an?x?? either converges absolutely or diverges.