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 + 5! 1 + + 6! ... 2! 4! 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:

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
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No math library, and only allowed to use 'while' loops 

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)
Examples of factorial: 5! = 1*2*3*4*5
3! = 1*2*3
Transcribed Image Text: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) Examples of factorial: 5! = 1*2*3*4*5 3! = 1*2*3
PROBLEM: Computing e as an infinite series
Your task is to write a computer program that computes an approximation for e
using the formula given below:
1
+
1!
1
1
1
1
1
e = 1 +
+ ... +
6!
-
-
-
2!
3!
4!
5!
п!
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:
+
+
Transcribed Image Text:PROBLEM: Computing e as an infinite series Your task is to write a computer program that computes an approximation for e using the formula given below: 1 + 1! 1 1 1 1 1 e = 1 + + ... + 6! - - - 2! 3! 4! 5! п! 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: + +
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