Central Limit Theorem to proof that...

**FRMST** · December 20th 2011, 12:21 PM

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

Use the Central limit theorem to proof that:

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

**Moo** · December 20th 2011, 12:34 PM

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

**FRMST** · December 20th 2011, 12:45 PM

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

You were very helpful!
Thank you!

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