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Questions using the Sum command, especially for series and other algebraic objects, and related functions such as SumConvergence

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Suppose I define y = Sum[Subscript[a, k] x^k, {k, 0, Infinity}] which is a power series representation for y. Now if I multiply y by bx^n+cx^m I want the resulting answer to be sum of two power series …
asked Feb 13 '18 by Deep