Question about Poisson Distribution (not poker related).

[Saggitarius]

I need some help.
This is a question for math experts.

Go here: http://mathworld.wolfram.com/PoissonDistribution.html

Please explane why (6) equals (7) (there are numbers to the right of each equation).
Each equation consist of 4 parts, but I don't understand why each of them equals another one (exept my^n/n! = my^n/n! of course).
Just don't know who else to ask.

Thank you!

[well]

The first term:

LIM N->Inf N(N-1)(N-2)...(N-n+1) / N^n =
LIM N->Inf N*N*N*...*N / N^n = 1

The third follows from (9) (http://mathworld.wolfram.com/ExponentialFunction.html).

The fourth term:

LIM N->Inf N(1-v/N)^n = (1-LIM N->Inf v/N)^n = (1-0)^n = 1^n = 1

[Saggitarius]

Nice! Thanks a lot Well.
The first and fourth terms are easy, can't belive I couldn't figure it out by my selv.
Thanks again!