Pi (divided by 4) can be approximated by the following infinite series:
pi/4 = 1 - 1/3 + 1/5 - 1/7 + ...
For a given number of terms (n), return the difference between the actual value of pi and this approximation of the constant.
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@goc3
Why this doesn't work correctly to same decimal place ?
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format long
y = (4*sum(arrayfun(@(k) ((-1).^k)./(2*k+1),0:n)))-pi;