Any suggestions on what I have done wrong?

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Monkeyman
Monkeyman 2018-3-31
评论： Monkeyman 2018-4-1
I am attempting to find the smallest number of terms needed in the following series such that the absolute error of P - pi is less than 10^-6.
The series being S = 1/1^2 + 1/2^2 + 1/3^2............1/n^2.
With P = sqrt(6S)
I have the following code, but have managed to create an infinite loop. Any suggestions as to where I have gone wrong?
S=1;
P=sqrt(6*S);
n=1
while abs(P-pi)>10^(-6)
n=n+1
S=S+1/(n^2)
end
disp(n)

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David Fletcher
David Fletcher 2018-3-31
The variable P in your loop condition is never being updated in the loop. So if the condition is true at the start of the loop it will always be true - hence the infinite loop

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