how to make the matlab code to test the equation below convergent or divergent?

below is the matlab code that I used to solve it. but more code is needed to display the convergent or divergent equation above.

function [ Sum_n, series_1 ] = Coba5( n, es )
%Percobaan 3
clc;
clear;
n = input ('nilai signifikan: ');
series_1 = 0
es = 0.5*(10^(2-n));
for ns = 1:100
x = cumsum( sin(2*ns)./ns.^2)
series_1 = series_1 + x
end
disp([es]')
end

Answer 1

[Ameer Hamza]

Just find the sum and check if it is convergent or divergent

syms n

term = sin(2*n)/n^2;
y = vpa(symsum(term, n, 1, inf));

if isinf(y)
    fprintf('divergent\n');
else
    fprintf('convergent\n');
end

[Muhammad Rohim]

can i ask.

why when I try the error code occurs in the part "if isinf (y)"

Undefined function 'isinf' for input arguments of type 'sym'.

Error in Matlab1 (line 6)

if isinf(y)

[Ameer Hamza]

Which MATLAB release are you using? You can try this

if isinf(double(y))
    fprintf('divergent\n');
else
    fprintf('convergent\n');
end

[Muhammad Rohim]

thank you very much.

[Ameer Hamza]

Glad to be of help.