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pi^e

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e^pi and pi^e 2009-10-22
Natalie pose la question :
Question from natalie, a student:

Without using your calculator, prove which is bigger: e^pi or pi^e

we talked about ad absurdum in class, so I'm assuming that is how I approach this question, but since neither of them have a variable( like the examples we actually solved in class), I'm not quite sure how to solve it....

Harley Weston lui répond.
e^pi > pi^e 2001-07-27
Dusty pose la question :
What book(s) contain a proof that ePi > Pie? I think it might be in Problems in Analysis published by Springer-Verlag but I have not been able to check.
Chris Fisher lui répond.
 
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