b***k
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Ithink (牛夫人) 于 (Mon Mar 31 16:10:09 2008) 提到:
e^pi and pi^e, which one is larger?
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yokel (uuuu) 于 (Mon Mar 31 16:52:54 2008) 提到:
1st
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blook (布鲁克) 于 (Mon Mar 31 18:08:00 2008) 提到:
think about it in this way
e^pi vs pi^e
=> pi*ln(e) vs e*ln(pi)
=> ln(e)/e vs ln(pi)/pi
then think about the properity of the function ln(x)/x,
which maximized at x=e, so we have
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