This is what you got,Originally Posted by Tenrasmey
Combine your fractions,
Each denominator kills the numerator thus,
I can't say that I have had to deal with many products (finite or infinite),Originally Posted by ThePerfectHacker
but taking logs is one of the first tricks I would normally employ, after all
it is a quick method of deriving Stirling's approximation to the factorial.
However there must be many cases where this approach will not be