Show that Moderator edit: Approved Challenge question.
Last edited by mr fantastic; May 19th 2010 at 08:22 PM.
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Originally Posted by Deadstar Show that I don't want to give the solution because I have seen this before. You do realize this is "commonly" known? The value of is usually denoted and is known as the Glaisher-Kinkelin constant.
Originally Posted by Drexel28 You do realize this is "commonly" known? Yeah totally that's why I posted it in a maths challenge section.
It wouldn't be a very cool proof, but you can let and check that (very simple but lengthy, or Maple can do it for you). Since and converges, we deduce . Taking exponentials gives the result...
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