Project: Calculate Euler's Number
You can calculate the value of [[E_(mathematical_constant)|Euler's Number]] (𝑒) using an infinite series that uses the factorial function.
`e = sum_(n=0)^oo 1/(n!)`
or
`e = 1 + 1/(1!) + 1/(2!) + 1/(3!) + 1/(4!) + 1/(5!) + ...`
where the factorial n! is:
`n! = 1*2*3*4*5*...*n`
Write a function to compute Euler's Number to a specified number of terms N that is passed to the function. Test the function with various values of N.
Output
$ javac -Xlint CalculateEulersNumber.java
$ java -ea CalculateEulersNumber
ℯ(1) = 2.0
ℯ(2) = 2.5
ℯ(3) = 2.6666666666666665
ℯ(5) = 2.7166666666666663
ℯ(10) = 2.7182818011463845