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Short Assignment Requirements
Starting with the simplest version, arctan x) =x , write a MATLAB code that adds terms one at a time to
estimate
arctan(pi / 6)
. After each new term is added, 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 two significant figures.
Assignment Image
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Problem 2:
The Maclaurin series expansion arctangent of x is defined for |x|≤1 as
arctan(x)=) x²n+1
(-1)"
(2n +1)
n=0
Starting with the simplest version, arctan(x)=x, write a MATLAB code that adds terms one at a time to
estimate arctan(π/6). After each new term is added, 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 two significant figures.