(Numerical Analysis) The value of Euler's number, e, can be approximated by using this formula:
![910_41c2a36f-0c72-4019-a0ab-2d88d4189793.png](https://secure.tutorsglobe.com/CMSImages/910_41c2a36f-0c72-4019-a0ab-2d88d4189793.png)
Using this formula, write a C++ program that approximates the value of e, using a while loop that terminates when the difference between two successive approximations is less than 10e-9.