Use a comparison test to determine whether the series [itex]\sum[/itex] (n+1)/(n[itex]^{2}[/itex]+n+1) diverges or converges.(adsbygoogle = window.adsbygoogle || []).push({});

I started out by simplifying the series to 1/n+1 and then from there I compared it to 1/n, which converges. 1/n is greater than 1/n+1 so based on the comparison test, the original series should also converge, is this correct? I also tried a limit comparison test and got n/n+1 which equals 2 which would mean that both Ʃa and Ʃb converge. I am kind of shady on my series and and getting very confused with this question.

thanks!

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

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# Comparison test to determine convergence

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