(a) Using the exponential series and the geometric series, determine a Taylor series for the function {(-) =-1, 1- z with zo = 0. For which z does this series converge? Hint: The Cauchy product of series is Ck = a,bk-t. 1=0 with i=0 j=0 k=0 (b) What is the order of the zero of this function at 0? Justify vour answer

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