% Plots the error in the Taylor series approximation of e as a function
% of the number of terms used in the series.
function plot_approx_e

% Compute the Taylor series approximation of e with n = 1,2,4,8,16,32,64,128
% terms.
n = [1 2 4 8 16 32 64 128];

for j = 1:length(n);
   en(j) = compute_e(n(j));
end

% Compute the absolute error in the approximations using MATLAB's computation
% of e as the true value.
err = abs(en-exp(1));

% Plot the error on a loglog scale to see how the error decays as a function
% of the number of terms in the series.
loglog(n,err,'b-');