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Re: Derivation of limit of infinite quotient
Posted:
Aug 22, 2012 4:15 PM


On Wednesday, August 22, 2012 1:42:18 PM UTC+2, Brad Cooper 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? > > > > Regards :)
You might get some inspiration from this:
http://www.jstor.org/discover/10.2307/3029628?uid=3738744&uid=2129&uid=2&uid=70&uid=4&sid=21100996956843
KON



