how to loop a taylor series using a while loop in matlab

main.m
x = pi/4; % set the value of x
n = 0; % initialize the counter
sum = 0; % initialize the sum

while true % infinite loop
    term = ((-1)^n)*(x^(2*n+1))/factorial(2*n+1); % compute the nth term
    if abs(term) < 1e-6 % check if the term is smaller than the tolerance
        break; % exit the loop
    end
    sum = sum + term; % add the nth term to the sum
    n = n + 1; % increment the counter
end

fprintf('The sin(%f) is approximately %f\n', x, sum); % display the result
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