y = (x!)^1/x

 

y \; = \;  \sqrt[x]{ \, x \, ! \, }   seems to be approaching a linear asymptote.

 

Find an approximation for the equation of this line.

 
 
 
 
 
 
 
 
 

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About benvitalis

math grad - Interest: Number theory
This entry was posted in Number Puzzles and tagged , . Bookmark the permalink.

One Response to y = (x!)^1/x

  1. mathmathmathmath says:

    from stirling’s approximation, we have
    lim x-> inf (x!)^(1/x) = x/e, where e is euler’s constant

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