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Derivation of limit of infinite quotient
Posted:
Aug 22, 2012 7:42 AM


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 :)



