# Thread: Central Limit Theorem to proof that...

1. ## Central Limit Theorem to proof that...

Hi guys. I've been trying to this excercise but I can't.

Use the Central limit theorem to proof that:

$\mathop {\lim }\limits_{n \to \infty } \sum\limits_{k = 0}^n {\frac{{{e^{ - n}}{n^k}}}{{k!}} = 0}$

2. ## Re: Central Limit Theorem to proof that...

Originally Posted by FRMST
Hi guys. I've been trying to this excercise but I can't.

Use the Central limit theorem to proof that:

$\mathop {\lim }\limits_{n \to \infty } \sum\limits_{k = 0}^n {\frac{{{e^{ - n}}{n^k}}}{{k!}} = 0}$
Hello,

The limit is 1/2 and the solution can be found here

3. ## Re: Central Limit Theorem to proof that...

lol... that was what i was getting, but i thought i was wrong.