The Maclaurin series expansion for cos x is + 6! 8! cos x = 1 -...

 

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The Maclaurin series expansion for cos x is + 6! 8! cos x = 1 - + 2 4! Starting with the simplest version, cos x = 1, add terms one at a time to estimate cos(7/6). After each new term is added, compute the true and approximate percent relative errors. Use your pocket calculator to determine the true value. Add terms until the absolute value of the approximate error estimate falls below an error crite- rion conforming to two significant figures. The Maclaurin series expansion for cos x is + 6! 8! cos x = 1 - + 2 4! Starting with the simplest version, cos x = 1, add terms one at a time to estimate cos(7/6). After each new term is added, compute the true and approximate percent relative errors. Use your pocket calculator to determine the true value. Add terms until the absolute value of the approximate error estimate falls below an error crite- rion conforming to two significant figures.

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