Calculate the sum of a series

Question

Hi everyone,

the picture below is the sum of a series that have infinity limit, and i don't know the suitable function to deal with the problem.

Thanks for your help.

manoj kandukuri · Answer

Hi Dung,

you can get more accurate result by having a tolerance condition inside a while loop. something like below:

%%

clc, clear
 	sum = 0;
 	sum_before = realmax;
 	tol = 1e-12;  % tolerance value
 	i = 0;

while (abs(sum_before - sum) >= tol) 
 	    i= i+ 1;
 	    sum_before = sum;
 	    sum = sum + 1/(i^2);        
 	end

%%

Hope this helps

Thanks,

Manoj kandukuri

Dung the most handsome man · Answer

Thank you, but i need the more accuracy result, cause exactly, the result is pi^2/6. I tried your solution before, the result is an irrational number.
 	Anyway, thanks for your suggest.

L Moretti · Answer

Hi Dung,

you can try this:

clc, clear
 	Sum = 0;
 	for k=1:100000
 	    Sum = 1/k^2 + Sum;
 	end