u Calculate e

http://acm.zju.edu.cn/show_problem.php?pid=1113

Time limit: 1 Seconds

Memory limit: 32768K

1. Background

A simple mathematical formula for e is

latex($$e=\sum_{i=0}^n\frac{1}{n!}$$)

where n is allowed to go to infinity. This can actually yield very accurate approximations of e using relatively small values of n.

2. 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.

3. Sample Output

n e
- -----------
0 1
1 2
2 2.5
3 2.666666667
4 2.708333333

Problem Source: Greater New York 2000