How is that $(\frac{1}{k})^{k}$ derived? I know it is something related to combinatorics, would you give me a proof on this, and also point me to some other useful web resource to understand this deeper?
2026-04-22 11:29:14.1776857354
How is that $(1/k)^k$ derived from this power series?
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It has nothing to do with combinatorics. It's just the elementary limit $$\lim_{n\to\infty}\frac{n+a}{kn+b}=\frac1k$$ where $a,b,k$ are constants. Notice that you can split the limit of the product into the product of the limits because the number of factors ($k$) is a constant which does not depend on $n$.