Talk:Series of Power over Factorial Converges

let me ask something

How did you know that

$\frac {\left|{x}\right|} {n+1} \to 0$ as $n \to \infty$??

if x can be any real number... maybe exist some real number that if $n \to \infty$ do not $\frac {\left|{x}\right|} {n+1} \to 0$

THk --Gamma 00:39, 26 January 2009 (UTC)

I think we need to assume $x$ is a finite number, or maybe I'm missing something subtle. If $x$ is finite, then this is of course always true.--Joe (talk) 01:54, 26 January 2009 (UTC)

Well i remember that I have a book that calculate this limit I will post some of this days Gamma 03:40, 26 January 2009 (UTC)

The results Sequence of Powers of Reciprocals is Null Sequence and Combination Theorem for Sequences is sufficient to justify that step.

Sorry about that, I thought the result was trivial. --prime mover (talk) 06:28, 26 January 2009 (UTC)