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Christian and Rhys ask you to consider the power series (x - 5)12 (1) n=1 (a) Christian asks you to find the open interval of

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Christian and Rhys ask you to consider the power series (x - 5)12 (1) n=1 (a) Christian asks you to find the open interval of convergence I = (a, b) for the series (1) and to enter the values of a and b in the boxes below. (b) Now, set f(x) = > (r - 5)72 - for x in I (this is the interval found in part (a)). Rhys asks you to explain briefly n=1 in words why f' (z) = (x - 5) (x - 5)2 (x - 5)0-1 + + + ... + 62 + .. . 63 672 (2) for all r in I- (Note that the question continues below this essay box. Please scroll down.) A - A-IX BIUSXX Styles Font Size

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