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hdu 1012 u Calculate e
u Calculate e
Time Limit: 2000/1000 MS (Java/Others) Memory Limit: 65536/32768 K (Java/Others)Total Submission(s): 31968 Accepted Submission(s): 14314
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
Source
Greater New York 2000
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#include <stdio.h> double fun ( int i ) { double re = 2.5, to = 6; int n; for ( n = 3; n <= i; n++ ) { re += 1 / to; to *= ( n + 1 ); } return re; } int main() { int i; printf ( "n e\n" ); printf ( "- -----------\n" ); printf ( "0 1\n1 2\n2 2.5\n" ); for ( i = 3; i <= 9; i++ ) printf ( "%d %.9lf\n", i, fun ( i ) ); return 0; }
hdu 1012 u Calculate e
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