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Handwork problem: (Hand calculations using calculator) HW1_1 The Maclaurin series expansion of arctan(x) is shown below (-1) x3 X5 + 3 5 00 arctan(x) =
Handwork problem: (Hand calculations using calculator) HW1_1 The Maclaurin series expansion of arctan(x) is shown below (-1) x3 X5 + 3 5 00 arctan(x) = {1+2n = -x1+2n = x - x? x + 7 9 n=0 Starting from the simplest version arctan(x) = x, add terms one at a time to estimate arctan(0.75). After each term is added, calculate the true and approximate relative errors. Use your calculator for finding the 'true' value. Retain 5 decimal places in your calculations. Present your results in a tabular form like the one in Example 4.1 in your book. Continue your calculations until you achieve 2 significant figures accuracy
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