Suppose that the coefficients of the power series Ean(r – c)" n=0 satisfy |an+1\| lim = L. |an| (a) Find the radius of convergence of an(x – c)". n=0 (b) Find a power series for d an(x – c)", dx n=0 and determine its radius of convergence. (c) Find a power series for an(x-c)" dx, n3D0 and determine its radius of convergence.

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