(General Math) The exponential function ex, where e is known as Euler's number (and...

(General Math) The exponential function e^x, where e is known as Euler's number (and has the value 2.718281828459045 . . .) appears many times in descriptions of natural phenomena. For example, radioactive decay, population growth, and the normal (bell-shaped) curve used in statistical applications can be described by using this function. The value of e^x can be approximated by using the series.

Using this formula, write a program that calculates and displays the value of Euler's number, using 1, 2, 3, and 4 terms of the series.