Category:Limit to Infinity of Binomial Coefficient over Power

This category contains pages concerning Limit to Infinity of Binomial Coefficient over Power:

Let $k \in \R \setminus \set {-1, -2, -3, \dotsc}$.

Then:

$\ds \lim_{r \mathop \to \infty} \dfrac {\dbinom r k} {r^k} = \frac 1 {\map \Gamma {k + 1} }$