disp('Icrontic.com MATLAB Team Sample Code.');
disp('Copy at your own peril, many teachers/professors are proficient with Google.');
disp('This code evaluates a Taylor series approximation of e^x about the point a=0.');

% Variable definitions:
% x: power of e to be solved.
% d: desired accuracy evaluated as the value of the n-term Taylor series
%       approximation - the (n-1)-term Taylor series approximation.
% n: number of terms in the Taylor series.
% t_n: nth term in Taylor series.
% e_approx: solution to the n-term Taylor series.

x=input('Enter x: ');
d=input('Enter accuracy of approximation: ');

n=1;            % approximation begins with single-term solution
t_n=x^(n-1)/factorial(n-1);
e_approx=t_n;   % initial approximation
while t_n > d                      % accuracy reached?
    n=n+1;                         % add another term.
    t_n=x^(n-1)/factorial(n-1);    % evaluate the new term.
    e_approx=e_approx+t_n;         % add the new term to the approximation.
end
disp('Approximate solution of e^x:');
disp(e_approx);
disp('Number of terms in Taylor series:');
disp(n);
disp('Accuracy achieved:');
disp(t_n);