The value of e^{x} can be computed as the power series

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where n! = 1 · 2 · 3 · … · n.

Write a program that computes e^{x} using this formula. Of course, you can't compute an infinite sum. Just keep adding values until an individual summand (term) is less than a certain threshold. At each step, you need to compute the new term and add it to the total. Update these terms as follows:

term = term * x / n;

Follow the approach of the preceding two exercises, by implementing a class ExpApproximator. Its first guess should be 1.