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Evaluate \(\prod ^{2004} _{n=1} (n^2 +2n-1)/(n^2 +n+\sqrt{2}-2)\)

 

Thank You in advance.

 Jul 24, 2020
 #1
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The product telescopes to 1002*sqrt(2) - 586.

 Jul 24, 2020
 #2
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productfor(n, 1, 2004, (n^2 +2*n-1)/(n^2 +n+2#2 - 2) = 831.083979 

 Jul 24, 2020

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