1. Let f(w) = Ea,wi be the Maclaurin expansion of a function f(w) analytic at the origin. (A Maclaurin expansion is the same as a Taylor expansion about zo = 0.) Show the correctness of each of the following statements. %3D (a) Eoajz2i is the Maclaurin expansion of g(2) := f(2?). (b) Eoac'z is the Maclaurin expansion of h(2) := f(cz). (c) Eoazm+j is the Maclaurin expansion of H(2):= 2mf(2). (d) oa(z - 2o) is the Taylor expansion of G(z):= f(z- zo) around zo-

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