Dangerous Limit

Calculus Level 3

ξ(k)=limx((kx)!xkx)1/x,kN \Large \displaystyle \xi(k) = \lim_{x\rightarrow \infty} \left( \dfrac{ (k x)!}{x^{kx}} \right)^{1/x} , \quad k \in \mathbb N

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