Python Math: Compute the value of e using infinite series

Python Math: Exercise-65 with Solution

Write a Python program to compute the value of e(2.718281827...) using infinite series.

Sample Solution:-

Python Code:


  1 + 1/1! + 1/2! + 1/3! + ...
  2 + 1/2! + 1/3!+ ...
import math

def fact(n):
    if n == 0:
       return 1
       return n*fact(n-1)

def e(EPS):

    v1 = 2
    v2 = v1 + float(1.0/fact(2))
    i = 3 
    while math.fabs(v1-v2) >= EPS:
          v1 = v2
          v2 += float(1.0/fact(i))
          i += 1
    return v2  

print("The mathematical constant e")
#computes the value of e using infinite series
#mathematical constant e build-in

Sample Output:

The mathematical constant e                                                                                   


Flowchart: Compute the value of e using infinite series

Visualize Python code execution:

The following tool visualize what the computer is doing step-by-step as it executes the said program:

Python Code Editor:

Have another way to solve this solution? Contribute your code (and comments) through Disqus.

Previous: Write a Python program to calculate the volume of a tetrahedron.
Next: Write a Python program to create an ASCII waveform.

What is the difficulty level of this exercise?

Test your Programming skills with w3resource's quiz.

Share this Tutorial / Exercise on : Facebook and Twitter

Python: Tips of the Day

Lambdas for Sorting:

>>> students = [{'name': 'John', 'score': 98}, {'name': 'Mike', 'score': 94}, {'name': 'Jennifer', 'score': 99}]
>>> sorted(students, key=lambda x: x['score'])
[{'name': 'Mike', 'score': 94}, {'name': 'John', 'score': 98}, {'name': 'Jennifer', 'score': 99}]