Python Program to Compute the Value of Euler's Number e. Use the Formula: e = 1 + 1/1! + 1/2! + …… 1/n!

When it is required to implement Euler’s number, a method is defined, that computes the factorial.

Another method is defined that find the sum of these factorial numbers.

Below is the demonstration of the same −

Example

 Live Demo

def factorial_result(n):    result = 1    for i in range(2, n + 1):       result *= i    return result def sum_result(n):    s = 0.0    for i in range(1, n + 1):       s += 1.0 / factorial_result(i)    print(s) my_value = 5 print("The value is :") print(my_value) print("The result is :") sum_result(my_value)

Output

The value is : 5 The result is : 1.7166666666666668

Explanation

• A method named ‘factorial_result’ is defined, that takes an integer ‘n’ as parameter that computes the factorial of a given number.

• Another method named ‘sum_result’ is defined, that takes integer ‘n’ as parameter that iterates over a range of numbers and adds the numbers.

• Outside the methods, a value is defined, and the ‘sum_value’ is called by passing this value as parameter.

• The output computed is displayed on the console.