# 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 an 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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