- #1
straycat
- 182
- 0
Hello all,
I am trying to prove that the following is true:
<br /> lim_{M \rightarrow \infty} \sum_{P = (\frac{1}{N}-\delta)M}^{(\frac{1}{N}+\delta)M}<br /> \frac{(N-1)^{{M-P}}M!}{P!(M-P)!N^{M}} \rightarrow 1<br />
where P, M, and N are integers, and \delta is an arbitrarily small positive number (less than 1/N).
Any ideas on how I might approach this?
David
I am trying to prove that the following is true:
<br /> lim_{M \rightarrow \infty} \sum_{P = (\frac{1}{N}-\delta)M}^{(\frac{1}{N}+\delta)M}<br /> \frac{(N-1)^{{M-P}}M!}{P!(M-P)!N^{M}} \rightarrow 1<br />
where P, M, and N are integers, and \delta is an arbitrarily small positive number (less than 1/N).
Any ideas on how I might approach this?
David
