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Evaluate-P-k-3-k-3-3k-2-k-6-64-




Question Number 140028 by mnjuly1970 last updated on 03/May/21
   Evaluate :::                  P :=Π_(k=3) ^∞ (((k^3 +3k)^2 )/(k^6 −64))=?                    ..........................
$$\:\:\:{Evaluate}\:::: \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:{P}\::=\underset{{k}=\mathrm{3}} {\overset{\infty} {\prod}}\frac{\left({k}^{\mathrm{3}} +\mathrm{3}{k}\right)^{\mathrm{2}} }{{k}^{\mathrm{6}} −\mathrm{64}}=? \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:…………………….. \\ $$

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