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.