Home› C Programming Language› / Programs / Write a program to solve the following problem- Euler's number e is used as the base of natural logarithms. It may be approximated using the following formula: where n is sufficiently large. Write a program that approximates e using a loop that terminates when the difference between the two successive values of e is less than 0.0000001.
🚀 Programming Example

Write a program to solve the following problem- Euler's number e is used as the base of natural logarithms. It may be approximated using the following formula: where n is sufficiently large. Write a program that approximates e using a loop that terminates when the difference between the two successive values of e is less than 0.0000001.

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💻 Practical Program
📘 Step Learning
Write a program to solve the following problem- Euler’s number e is used as the base of natural logarithms. It may be approximated using the following formula: where n is sufficiently large. Write a p
← Previous C program to print the number pattern. 1 1 2 1 2 3 1 2 3 4 1 2 3 4 5

💻 Program Code

#include <stdio.h>
int main()
{
	double term = 1.0;
	double sum = 1.0;
	int n = 0;
	while (term >= 0.0000001)
	{
		n++;
		term = term/n;
		sum = sum + term;
	}
	printf("\n Approximate value of e is: %lf ",sum);
	
	getch();
	return 0;
}

🖥 Program Output


 Approximate value of e is: 2.718282

📘 Explanation

None
← Previous C program to print the number pattern. 1 1 2 1 2 3 1 2 3 4 1 2 3 4 5
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📌 Topic Information
Subject C Programming Language
Chapter Loop control in C Language
Sub-Chapter While Loop in C Language

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