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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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

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;
}

Output


 Approximate value of e is: 2.718282

Explanation

None

How to learn from this program

First read the algorithm, then study the program code line by line. After that, compare the code with the output and finally go through the explanation. This approach helps learners understand both the logic and the implementation properly.

Practice suggestion

After understanding this example, try to rewrite the same program without looking at the code. Then change some values or logic and run it again. This helps improve confidence and keeps learners engaged on the page for longer.

Program Code

Output

Explanation

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