1. The problem statement, all variables and given/known data Plot e^x for -10 to 10 using a Taylor series about 0 find the error between the nth term and the actual value of e^-10 and e^10 plot sin(4*theta) using a 2 term expansion, a 4 term expansion and a 10 term expansion and constrast it with the plot of sin(4*theta) 3. The attempt at a solution This is the first time I have ever opened MatLab and tried to do any sort of math programming. I suppose I need help in the logic of it or trying to trace what I am doing. So far I have: Code (Text): %This will compute the Taylor Series expansion of e^x for a user defined %x value for the number of terms required by the user. It will do this about the point %a=0. The result of the %nth term will be compared to the computer generated value of e^x x = input ('Enter a value for x:'); % user input of which value to use for x i = input ('Enter the non-zero number of terms for this Taylor Series expansion:'); %user input of number of terms to use % g_n: the nth term in Taylor Series k=1; % initialize k g_n=x^(k-1)/factorial(k-1); % begin with the first term g=g_n; while i>k; % let index increase until number of desired terms reached k=k+1; % increase index by 1 g_n=x^(k-1)/factorial(k-1); g=g+g_n; %add the next term in the series end disp(g) I changed my code to what is listed above and it seemed to help entirely.