Approximating Euler's e. 1. Let f(z) = e". (a) Use the Maclaurin series for f(x) to give an approximation of e that is correct to 10 decimal places. (b) How many terms of the series did you have to...

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Extracted text: Approximating Euler's e. 1. Let f(z) = e". (a) Use the Maclaurin series for f(x) to give an approximation of e that is correct to 10 decimal places. (b) How many terms of the series did you have to use in part (b)? (c) How many terms are required to get 100 decimal places correct?