Your task is to write a computer program that computes an approximation for e using the formula given below: 1 e = 1 + 1! 1 1 + 3! 1 1 + + 5! 1 1 2! 4! 6! п! + + +
Your task is to write a computer program that computes an approximation for e using the formula given below: 1 e = 1 + 1! 1 1 + 3! 1 1 + + 5! 1 1 2! 4! 6! п! + + +
Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
Related questions
Question
Coding in Python
![Your task is to write a computer program that computes an approximation for e
using the formula given below:
1
1
+
4!
1
1
+
1!
1
+
1
+
6!
1
e = 1 +
2!
3!
5!
n!
The input to the problem is a positive integer, n, that represents the number of
terms you wish to sum in your approximation. The output is the resulting
calcuation of that summation. For example, if:
INPUT
CALCULATION
OUTPUT
n = 1
e = 1
1
n = 2
e = 1 + 1/1!
2
n = 3
e = 1+ 1/1! + 1/2!
2.5
n = 50
e = 1+ 1/1! + 1/2! + ... + 1/49!
2.7182818284590455
NOTE: You are not allowed to use any built-in factorial function in your
solution (you are not allowed to import the math library for this problem)
+
+](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc0afe0d7-f8be-415f-83d1-ecb5fee56e69%2Fe61f717e-4935-4a4d-972b-e6f0441f990f%2Fjrolj0i_processed.png&w=3840&q=75)
Transcribed Image Text:Your task is to write a computer program that computes an approximation for e
using the formula given below:
1
1
+
4!
1
1
+
1!
1
+
1
+
6!
1
e = 1 +
2!
3!
5!
n!
The input to the problem is a positive integer, n, that represents the number of
terms you wish to sum in your approximation. The output is the resulting
calcuation of that summation. For example, if:
INPUT
CALCULATION
OUTPUT
n = 1
e = 1
1
n = 2
e = 1 + 1/1!
2
n = 3
e = 1+ 1/1! + 1/2!
2.5
n = 50
e = 1+ 1/1! + 1/2! + ... + 1/49!
2.7182818284590455
NOTE: You are not allowed to use any built-in factorial function in your
solution (you are not allowed to import the math library for this problem)
+
+
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
Factorial
def factorial(num):
mul = 1
for i in range(1, num+1):
mul = mul * i
return mul
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