Math Is Fun Forum

The Fonz

Member

Registered: 2007-12-09

Posts: 1

Need help with Statistics.

I need to explain/ prove, why

( 1 -  lamda/n)^(- lamda/n) --> e

the only thing i got to start with is that  lamda= n* Theta?

saxmaestro1

Guest

Re: Need help with Statistics.

I have seen proofs go from Probability(x;lamda)= (lamda^x*e^-lamda)/x! when x=0,1,2...
when n-->∞
θ-->0
nθ=lambda=constant  but at this step, when ( 1 -  lamda/n)^(- lamda/n) --> e they just skip this step/explanation...any ideas on why this step works?