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Problem 04.011 - Series convergence The Maclaurin series expansion for cos x is cos x=1 ..? 2 + 26 6! + 4! 8! Starting with

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Problem 04.011 - Series convergence The Maclaurin series expansion for cos x is cos x=1 ..? 2 + 26 6! + 4! 8! Starting with the one-term approximation, cos x = 1, add terms one at a time to estimate cos(TT/3). After each new term is added, compute the true and approximate percent relative errors. Use your calculator to determine the true value. Add terms until the absolute value of the approximate error estimate falls below 0.5%. (Round the value of cos(T/3) to four decimal places and the values of true and approximate errors to two decimal places.) Term Value of cos(1/3) True error(%) Approximate error(%) 1 452 One Two Three Four 4517 5018 9.6623 3592 -502 491 .50 .0071

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