Suppose that the coefficients of the power series E an(x – c)" n=0 satisfy |an+1] lim = L. n→∞ an (a) Find the radius of convergence of > an(x – c)". | n=0 (b) Find a power series for d E an(x – c)", dx n=0 and determine its radius of convergence. (c) Find a power series for 7(E an(x – c)" dx, n=0 and determine its radius of convergence.

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