Show that f"(0) = 0. Use induction and the ideas from the above to show that f(k)(0) = 0 for every k and conclude that f = 0. %3D Assume that g(r) =anr" on (–R, R). Instead of assuming that f(In) = 0 assume n=0 that f(x,) = g(rn) for all n. Show that f(x) = g(x) on (–R, R).

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Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.