How to evaluate lim_(x => infty) (x^x)/(e^x x!)

Damon Vazquez

Damon Vazquez

Answered question


How to evaluate lim x x x e x x !

Answer & Explanation



Beginner2022-10-10Added 11 answers

As Thomas said, using Stirling’s approximation:
x ! 2 π x ( x e ) x
1 x ! ( x e ) x 1 2 π x x + 0

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