(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

I don't have the problem in front of me but it was something like "converge or diverge"?:

[tex]\sum[/tex] 5^n/(n+1)

3. The attempt at a solution

I would like to know that if I use the root test, would I get lim n-> [tex]\infty[/tex] 5/(n+1)^1/n = 5/(n+1)^0 = 5/1 = 5 ?

I suspect this is not correct since (n+1)^1^n is an indeterminate form, however, in the book the only way to solve the problem that led to the correct answer was if (n+1) became 1

(this is not the exact example, I am more interested in if you can use the root test on variables variables of n in the base, ex lim -> [tex]\infty[/tex]n^1/n

If this is not clear enough I will re-post with the correct problem.

1. The problem statement, all variables and given/known data

2. Relevant equations

3. The attempt at a solution

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# Homework Help: Root Test, Infinite Series

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