k-lim-n-1-n-p-0-n-n-p-n-k-n-p-k-N-fixed-find-lim-n-1-n-1-i-1-n-i-1-i-2-

Question Number 151078 by mathdanisur last updated on 18/Aug/21

Ω_{k} = \lim_{n \to \infty} \frac{1}{n} \cdot \underset{p = 0}{\sum^{n}} \frac{(\begin{matrix} n \\ p \end{matrix})}{(\begin{matrix} n + k \\ n + p \end{matrix})}; k \in N^{*} - fixed

find Ω = \lim_{n \to \infty} \frac{1}{Ω_{n - 1}} \cdot \underset{i = 1}{\sum^{n}} \sqrt[i^{2}]{i!}