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

I'm this series to see if it's convergent or divergent. I tried the root test, but it came out inclusive, and now I am trying to figure out if the ration test works. The only thing I'm asking which would be the right test for this.

2. Relevant equations

∞Ʃn=1 (2n+1)^n/(n^2n)

3. The attempt at a solution

[(2n+1)^n/(n^2)]^1/n

= (2n+1)/(n^2)

= [itex]\stackrel{}{lim n\rightarrow}[/itex]∞ (2n+1)/(n^2)

= 1/1

= 1

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# Homework Help: Convergence: Root Test Inconclusive

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