Bu using MATLAB code answe the parts

(A and B)

One method by which we can approximate the constant e is with a series, a) Write a MATLAB script m-file that uses the Maclaurin series, e^x = Sigma^infinity_pi = 0 x^n! to compute an approximation for c. I.et your program add terms until the running sum no longer changes. (You may need to keep track of both a current and a previous running sum.) Display the approximation, the absolute error, the relative error, anti the number of terms needed in the series for this approximation. Use MATLAB's built-in function exp for the "exact" value of e in your error calculations. b) Why does the running sum eventually stop changing? What phenomenon is occurring here that we discussed in class