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 Power of Reciprocal and Combination Theorem for Sequences is sufficient to justify that step.

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