Create a MATLAB function that estimates e and outlines the error

I'm attempting to create a function that provides me with an estimate of e(exp(1)), and that provides me with information about the error within the function. Estimating e was not an issue, however, when attempting to use an if statement created an infinite recursion within my function.

Here is my function

function e = myExpFunction(i)
for i = 1:20
    n = 10.^i;
    e = (1+1./n).^n;
    if abs(exp(1) - myExpFunction(i)) < abs(exp(1) - myExpFunction(i-1))
        fprintf('The error always decreases as n increases.\n')    
    end
end
end

And here is the error message

myExpFunction(i)
Out of memory. The likely cause is an infinite recursion within the program.

Error in myExpFunction (line 5)
    if abs(exp(1) - myExpFunction(i)) < abs(exp(1) - myExpFunction(i-1))

I have tried using a while loop to bound the value of i between 1 and 20 but got the same error message. So I suppose I must have created an infinite loop within those bounds.

I'm having trouble fixing this as I don't understand where in the program I have created an infinite recursion. If anyone could help me out and shed some light it would be a massive help, thanks.