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Re: Derivation of limit of infinite quotient
Posted:
Aug 22, 2012 9:44 AM


On Wed, 22 Aug 2012 04:42:18 0700 (PDT), Brad Cooper <brad.cooper_17@bigpond.com> wrote:
>If > >f(n) = product(x^2k^2*PI^2, k=1..n) and >g(n) = product(x^2+k^2*PI^2, k=1..n) > >then limit n > infinity of f(n)/g(n) = sin(x)/sinh(x) > >I am looking for a derivation and/or a proof of this. > >Could someone please give a pointer to where I can get started on this?
sin(x) = x product(1  x^2 / (k PI)^2, k=1..inf) goes back to Euler.
Leon



