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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Python: Tips of the Day
Find current directory and file's directory:
To get the full path to the directory a Python file is contained in, write this in that file:
import os dir_path = os.path.dirname(os.path.realpath(__file__))
(Note that the incantation above won't work if you've already used os.chdir() to change your current working directory, since the value of the __file__ constant is relative to the current working directory and is not changed by an os.chdir() call.)
To get the current working directory use
import os cwd = os.getcwd()
Documentation references for the modules, constants and functions used above:
- The os and os.path modules.
- The __file__ constant
- os.path.realpath(path) (returns "the canonical path of the specified filename, eliminating any symbolic links encountered in the path")
- os.path.dirname(path) (returns "the directory name of pathname path")
- os.getcwd() (returns "a string representing the current working directory")
- os.chdir(path) ("change the current working directory to path")
Ref: https://bit.ly/3fy0R6m
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