Given that
k=∞ 1 A*B-C*D
Σ ------------------ = -------
k=0 (3k+1)(3k+2)(3k+3) E
where A, B, C, D and E are, in some order, the number π (pi), the square root of an integer, the natural logarithm of an integer, and two integers, find their values.
(In reply to
computer soln--spoiler--don't let this inhibit you from seeking analytic soln by Charlie)
The series on the left does indeed converge to
(Pi sqrt(3) - 3 log(3))/12
from which A, B, C, D and E can be found.
So Charlie's solution is essentially unique.
|
|
Posted by goFish
on 2005-11-11 03:58:17 |
re: confirm Charlie
