Hi Sania,
To simulate the given equation in MATLAB, you can utilize `for` loops, setting `maxIterations` to 100 to represent the limit for the infinite series. Please refer to the code below to perform the calculation:
function demomlans()
% Define the range of t values
t_values = linspace(0.1, 10, 100); % Avoid t = 0 to prevent division by zero
f_values = arrayfun(@myFunction, t_values);
% Plot the function
figure;
plot(t_values, f_values, 'LineWidth', 2);
xlabel('t');
ylabel('f(t)');
title('Plot of the function f(t)');
grid on;
end
function f = myFunction(t)
% Initialize variables
f = 0;
maxIterations = 100; % Set a limit for the infinite series
% Compute the sum
for n = 1:maxIterations %starting from 1 to avoid divide by 0 errors
for p = 1:maxIterations
term = ((-1)^n * (n/p)^p * sin(t)) / (factorial(n) * factorial(p));
f = f + term;
end
end
% Divide by t outside the sum
f = f / t;
end
The code provided above generates a graph similar to the one shown below:
Hope this helps!
