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Power series for arctan

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Benjamin Trivers
Benjamin Trivers 2020-1-31
评论： David Hill 2020-1-31
Write a script that does the following: Approximate π using the formula from trigonometry (π = 4arctan1) and arctan values using the first 10 terms in the power series letting x=1. Then calculate the absolute error of your approximation using the above formula (hint: the error from k ∗ arctan x is k times the error from arctan x). Use fprintf to nicely display your results.
Please help, I have no idea how to start?
  2 个评论
Geoff Hayes
Geoff Hayes 2020-1-31
Benajamin - presumably this question is from a class that you are taking. Are you learning about power series? What is the power series for arctan?
David Hill
David Hill 2020-1-31
First calculate arctan1 using the first 10 terms of series.
Atan=0;
for k=1:10
Atan=Atan+(-1)^(k-1)/(2*k-1);
end
Then calculate the absolute error.

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