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    Evaluate Infinite Product to Find $\pi \cos ech\left( \pi \right)$

    HI Guys... I am trying to figure out the infinite product : product_(k=1)^(infty)(1+(2k)^2)/(1+(2k-1)^2)) Can anyone help? Benorin, you say you love infinite products... have a go! I would be very grateful!
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