Use the Maclaurin series expansion for the sin x to estimate sin(pi/3) x5 x3 sinx=x−= + 3! 5! 7! Compute the true and approximate percent relative errors. Add terms until the absolute value of the approximate error estimate falls below an error criterion conforming to 5 significant figures

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Use the Maclaurin series expansion for the sin x
to estimate sin(pi/3)
sinx=x-
x3
+
3! 5! 7!
+
Compute the true and approximate percent
relative errors. Add terms until the absolute value
of the approximate error estimate falls below an
error criterion conforming to 5 significant figures
Transcribed Image Text:Use the Maclaurin series expansion for the sin x to estimate sin(pi/3) sinx=x- x3 + 3! 5! 7! + Compute the true and approximate percent relative errors. Add terms until the absolute value of the approximate error estimate falls below an error criterion conforming to 5 significant figures
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