24. The natural exponential function can be expressed by . Determine e2 by calculating the sum of the series for:

(a) n = 5,

(b) n = 15,

(c) n = 25 For each part create a vector n in which the first element is 0, the increment is 1, and the last term is 5, 15, or 25. Then use element-by-element calculations to create a vector in which the elements are . Finally, use the MATLAB built-in function sum to add the terms of the series. Compare the values obtained in parts (a), (b), and

(c) with the value of e2 calculated by MATLAB.