Problem

Exercise approximates e using the following series:You can approximate e using the followi...

Exercise approximates e using the following series:

You can approximate e using the following series:

e = 1 +

Write a program that displays the e value for i = 10000, 20000, …, and 100000. (Hint: Because i! = i × (i - 1) × … × 2 × 1, then

Initialize e and item to be 1 and keep adding a new item to e. The new item is the previous item divided by i for i = 2, 3, 4, . . . .)

e = 1 +

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.

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