﻿ Python Math: Compute the value of e using infinite series - w3resource # 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:

``````'''
#https://gist.github.com/thinkphp/1528363

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

def fact(n):
if n == 0:
return 1
else:
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
print(e(0.00000001))
#mathematical constant e build-in
print(math.e)
```
```

Sample Output:

```The mathematical constant e
2.7182818282861687
2.718281828459045
```

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