25. The Taylor series expansion for ax is:

Write a MATLAB program that determines ax 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 . In each pass calculate the estimated error E given by . Stop adding terms when .

The program displays the value of ax. Use the program to calculate:

(a) 23.5

(b) 6.31.7 Compare the values with those obtained by using a calculator.