Produce a table of the values of the series
Equation 1
for the 2001 values of x, x= 0.000, 0.001, 0.002, ..., 2.000. All entries of the table must have an absolute error less than 0.5e-12 (12 digits of precision). This problem is based on a problem from Hamming (1962), when mainframes were very slow by today's microcomputer standards.
Input
This problem has no input.
Output
The output is to be formatted as two columns with the values of x and y(x) printed as in the C printf or the Pascal writeln.
printf("%5.3f %16.12f\n", x, psix ) writeln(x:5:3, psix:16:12)
As an example, here are 4 acceptable lines out of 2001.
0.000 1.644934066848
...
0.500 1.227411277760
...
1.000 1.000000000000
...
2.000 0.750000000000
The values of x should start at 0.000 and increase by 0.001 until the line with x=2.000 is output.
