Power series for arctan

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?

[Geoff Hayes]

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]

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.