Evaluate \(\prod ^{2004} _{n=1} (n^2 +2n-1)/(n^2 +n+\sqrt{2}-2)\)
Thank You in advance.
The product telescopes to 1002*sqrt(2) - 586.
productfor(n, 1, 2004, (n^2 +2*n-1)/(n^2 +n+2#2 - 2) = 831.083979
+163 
