How to do Taylor expansion without commands?

I want to solve e^x with Taylor series, this is what I have, but I need to replace "factorial"

n = input('ingrese valor de n ');
x = input('ingrese valor de x ');
o=exp(x);
q=n;
w=o*0;
for i= 0:q
    w= w + (x.^i)./factorial(n)
    plot(x,w)
end

[Sam Chak]

What is Taylor series? Can you show the formula for the Taylor series of exp(x)?

Once you have the formula of nth order, then I guess the rest will be straightforward, without using command, factorial, and loops.

There must be an integer limit to the nth order that the user can input, isn't it?

Answer 1

[KSSV]

Check the formula for exp(x), you made few mistakes....

n = input('ingrese valor de n ');
x = input('ingrese valor de x ');

s = 0 ; 

for i = 0:n
    s = s+x^i/myfactorial(i) ; 
end
% Check with inbuilt exp 
[s exp(x)]

% function for factorial 
function a = myfactorial(b)
a = 1 ; 
for i = 1:b
    a = a*i ; 
end
end

[Yulissa Gallardo]

oooh, I think I understand now, thanks a lot!

[KSSV]

Thanks is accepting/ voting the answer. :)