MATLAB: Writing a funciton for e^x values

matlab functionwhile loop

I am not sure what is wrong with my code, here is the prompt:
Write a function called e_to_the_x to estimate using its Taylor series:
starting with n =0, add terms until 2 subsequent approximations differ by less than using a while loop. (HINT: use the built-in function factorial()).
I am getting values but when I call e_to_the_x(-1) and e_to_the_x(1) it says I have incorrect values. Here is my code:
function [y1,y2] = e_to_the_x(x)
n=0
y1=(x^n)/factorial(n)
y2=y1+(x^n)/factorial(n)
while abs(y2-y1)>1e-6
    y1=y2
    y2=y1+(x^n)/factorial(n)
    n=n+1
end
end

Best Answer

function [y1,y2] = e_to_the_x(x)
n=0;
y1=(x^n)/factorial(n);
n=n+1;
y2=y1+(x^n)/factorial(n);
n=n+1;
while abs(y2-y1)>1e-6
    y1=y2;
    y2=y1+(x^n)/factorial(n);
    n=n+1;
end
end
You forgot to advance n.
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