Calculate the sum of a series

Dung the most handsome man

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.

L Moretti

Hi Dung,

 

you can try this:

 

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

Dung the most handsome man

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.

manoj kandukuri

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