## y = (x!)^1/x

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

Find an approximation for the equation of this line.

math grad - Interest: Number theory
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### 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