Hello, I am having a problem with my following lab assignment. I’ve included what I’ve completed so far. I am not sure if it is correct. If anyone can help me out, I would greatly appreciate it.

This is the problem in question:

Euler's number, "e" is used as the basic of natural logarithms. It can be approximated using the following formula:

e = 1 + 1/1! + 1/2! + 1/3! + 1/4! 1/5! + 1/6! + ... + 1/(n-1)! + 1/n!

Write a program that approximates "e" using a loop that terminates when difference between two successive values of "e" differ by less than 0.0000001.

This is what I’ve started/completed so far.

***start***

main()

{

/*repeat until euler(n) - euler(n-1)<=0.0000001 */

}

float euler(int n)

{

if(n==0)

return 1;

else

return (1/factorial(n) + euler(n-1));

}

int factorial(int n)

{

.

.

.

}

***is this correct?***

euler(0) => 1

euler(1) => 1/1! + euler(0)

1/1! + 1

euler(2) => 1/2! + euler(1)

1/2! + 1/1! + 1

euler(3) => 1/3! + euler(2)

1/3! + 1/2! + 1/1! + 1

euler(4) => 1/4! + 1/3! + 1/2! + 1/1! + 1

1/4! + euler(3)

***end***