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Taylor Series · syms x f = 1/(5 + 4*cos(x)); T = taylor(f, 'Order', 8) · T = (49*x^6)/131220 + (5*x^4)/1458 + (2*x^2)/81 + 1/9 · syms x g = exp(x*sin(x)); t = Taylor expansions are very similar to Maclaurin expansions because Maclaurin series actually are Taylor series centered at x = 0. Thus, a Taylor series is a I want the function to output the Nth order Taylor series for the function about a. disp('No order entered, going to 7th order Taylor Expansion.'). I'm trying to write a taylor series code for e^-x without using the taylor function in matlab. Each time I run the code I end up with an empty variable for order terms.) The MATLAB command for a Taylor polynomial is taylor(f,n+1,a), where f is the function, a is the point around which the expansion is made,degree polynomial approximations are closer to sin( ), over a wider range of . Matlab has a convenient function for generating the Taylor polynomial:.