Find the interval of convergence of (x^n)/(n! +1)

  • Thread starter Painguy
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  • #1
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Homework Statement


My main issue here is that if I use the ratio test I end up with lim (x(n!+1))/((n+1)!+1) n-> ∞

I don't know how to progress here. I believe that the limit will equal 0 and so it's interval of convergence is from -∞<x<∞ with a Radius of convergence of ∞. Is it safe for me to assume that?

Homework Equations





The Attempt at a Solution

 

Answers and Replies

  • #2
ehild
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It is never safe to assume anything. Prove it.

ehild
 
  • #3
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It is never safe to assume anything. Prove it.

ehild

Well that's why I was asking. I'm not sure how to deal with the factorials here.
 
  • #4
ehild
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Well, do you know what n! is?

ehild
 

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