Numerical Summation of a Series

——————————————————————————–

Time Limit: 10 Seconds      Memory Limit: 32768 KB      Special Judge

——————————————————————————–

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.