u Calculate e
Time Limit: 2000/1000 MS (Java/Others) Memory Limit: 65536/32768 K (Java/Others) Total Submission(s): 39017 Accepted Submission(s): 17700
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.
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
Source
#includedouble mul(double x){ double sum=1; for(int i=1;i<=x;i++) sum*=i; return sum;}int main(){ int j; double i,e=0,k; printf("n e\n"); printf("- -----------\n"); printf("0 1\n"); printf("1 2\n"); printf("2 2.5\n"); for(j=0;j<10;j++) { e+=1/mul(j); if(j>2) printf("%d %11.9f\n",j,e); } return 0;}