Can the Summation Expression be Simplified?

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withoutwax
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I am wondering whether the following expression can be simplified

sum of( (p^n) / (n!) ) from n=1 to n=n.
 
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What do you mean by "n= n"? Did you mean
[tex]\sum_{n=1}^{N} \frac{p^n}{n!}[/tex]?
I don't see any simple way to write that. However, it is well known that
[tex]\sum_{n=1}^\infty \frac{p^n}{n!}= e^p- 1[/tex]