hello, i want to know how to convert a maclaurin series into a table. can anyone help??

function Maclaurin
h={'terms' 'result' 'epsilon_t' 'epsilon_a'};
n=5;
x=input('enter the x value: ');
epsilon_s=(0.5*10^(2-n));
epsilon=100;
maclaurin(1)=1;
iteration=1;
while epsilon>epsilon_s
iteration=iteration+1;
maclaurin(iteration)=maclaurin(iteration-1)+(x)^(iteration-1)/factorial(iteration-1);
epsilon=abs((maclaurin(iteration)-maclaurin(iteration-1))/maclaurin(iteration));
end
disp(['e^' num2str(x, '%.8f') ' = ' num2str(maclaurin(iteration))])
disp(['number of iterations= ',num2str(iteration)])
disp(['epsilon= ',num2str(epsilon)])

Answer 1

[Mehmed Saad]

T = Maclaurin

function T=Maclaurin
h={'terms' 'result' 'epsilon_t' 'epsilon_a'};
n=5;
x=input('enter the x value: ');
epsilon_s=(0.5*10^(2-n));
epsilon=100;
maclaurin(1)=1;
iteration=1;
while epsilon>epsilon_s
iteration=iteration+1;
maclaurin(iteration)=maclaurin(iteration-1)+(x)^(iteration-1)/factorial(iteration-1);
epsilon=abs((maclaurin(iteration)-maclaurin(iteration-1))/maclaurin(iteration));
end
disp(['e^' num2str(x, '%.8f') ' = ' num2str(maclaurin(iteration))])
disp(['number of iterations= ',num2str(iteration)])
disp(['epsilon= ',num2str(epsilon)])
T = table(maclaurin,iteration,epsilon);%here
end

[Ramdit P]

thank you that really helped a lot, but i was wondering if you could tell me how to show the rest of the iteration result and not just the sixth one (like this picture)

[Mehmed Saad]

just like you save values for maclaurin, same values for epsilon in some other variable as

iteration = 1:length(maclaurin);
T = table(maclaurin,iteration,epsilon_array);%here

[Ramdit P]

it ended up like this :(

[Mehmed Saad]

take transpose

T = Maclaurin

function T=Maclaurin
h={'terms' 'result' 'epsilon_t' 'epsilon_a'};
n=5;
x=input('enter the x value: ');
epsilon_s=(0.5*10^(2-n));
epsilon=100;
maclaurin(1)=1;
iteration=1;
eps_array(1) = epsilon;
while epsilon>epsilon_s
iteration=iteration+1;
maclaurin(iteration)=maclaurin(iteration-1)+(x)^(iteration-1)/factorial(iteration-1);
epsilon=abs((maclaurin(iteration)-maclaurin(iteration-1))/maclaurin(iteration));
eps_array(iteration) = epsilon;
end
disp(['e^' num2str(x, '%.8f') ' = ' num2str(maclaurin(iteration))])
disp(['number of iterations= ',num2str(iteration)])
disp(['epsilon= ',num2str(epsilon)])
iteration = (1:length(maclaurin)).';
maclaurin = maclaurin.';
eps_array = eps_array.';
T = table(maclaurin,iteration,eps_array);%here
end