The Taylor series expansion for a^x is: a^x = sigma_n=0^infinity (In a)^n/n! x^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 c_n is the nth term in the series, then the sum S_n of the n terms is S_n = S_n-1 + c_n. In each pass calculate the estimated error E given by E = |S_n - S_n-1/S_n-1|. Stop adding terms when E < 0.000001. The program displays the value of a^x. Use the program to calculate: (?) 2^3.5 (b) 6.3^1.7