Math Forum :: View topic – a proof

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mmrproblem

Joined: 05 Nov 2004Posts: 16

Posted: Wed Jan 26, 2005 2:57 am    Post subject: a proof

Which is greater?sqrt(e^(e)*pi^(pi)) or e^pi

koopa

Frequent VisitorJoined: 21 Jan 2004Posts: 62

Posted: Thu Jan 27, 2005 4:12 pm    Post subject:

e^x > 1 + x, For all x. (except at x = 0, in which you have equality) let x = e/pi – 1, then we have sqrt(e^e * pi^pi) is bigger.

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