Problem Description
A simple mathematical formula for e is
where n is allowed to go to infinity. This can actually yield very accurate approximations of e using relatively small values of n.
where n is allowed to go to infinity. This can actually yield very accurate approximations of e using relatively small values of n.
Output
Output the approximations of e generated by the above formula for the values of n from 0 to 9. The beginning of your output should appear similar to that shown below.
Sample Output
n e - ----------- 0 1 1 2 2 2.5 3 2.666666667 4 2.708333333
#include<stdio.h> int main() { int i,n,temp; double result=2.5;temp=2; printf("n e\n- -----------\n"); printf("0 1\n"); printf("1 2\n"); printf("2 2.5\n"); for(i=3;i<=9;i++) { temp*=i; result=result+1.0/temp; printf("%d %.9lf\n",i,result); } return 0; }