Chapter 10, Problem 10.20PE

(Approximate e) Programming Exercise 5.26 approximates e using the following series:

$e=1+\frac{1}{1!}+\frac{1}{2!}+\frac{1}{3!}+\frac{1}{4!}+\cdots +\frac{1}{i!}$

In order to get better precision, use BigDecimal with 25 digits of precision in the computation. Write a program that displays the e value for i = 100, 200, …, and 1000.