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Subject: "Regarding "Rational Solutions to x^y = y^x""     Previous Topic | Next Topic
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nyric
Member since Apr-29-11
Apr-29-11, 05:07 PM (EST)
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"Regarding "Rational Solutions to x^y = y^x""
 
   Perhaps it is obvious to some, but ( (x+1) / x ) ^ x converges to e.

And same for ( (x + 1) / x ) ^ (x+1).

Hence the identity x^y = y^x converges to e ^ e (or 15.154262241479264189760430272629911905528548536856139769140...
via https://www.wolframalpha.com/input/?i=e+^+e )

Richard


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alexbadmin
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Apr-29-11, 05:10 PM (EST)
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1. "RE: Regarding "Rational Solutions to x^y = y^x""
In response to message #0
 
   Thank you.

This is a nice observation. I'll make sure to upgrade the page.


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