The Taylor series expansion for a^x is: a^x = sum n = 0 to infinity [(ln(a))^n]*x^n/n! Write a MATLAB program that determines a^x using the Taylor series expansion. The program asks the user to type a value for x. Use a loop for adding the terms of the Taylor series. If Cn is the nth term in the series, then the sum Sn of the n terms is Sn = S(n-1) + Cn. In each pass calculate the estimated error E given by E = abs((Sn-S(n-1))/(S(n-1))). Stop adding terms when E < .000001. The program displays the value of a^x. Use the program to calculate: (a) 2^(3.5) (b) 6.3^(1.7) Compare the values with those obtained by using a calculator.