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## Homework Statement

does the following series converge or diverge? how does one determine whether it diverges or converges?

## Homework Equations

Ʃ (n+1)/((n^3)+3n^2+5)^1/2

n=1, to infinity

## The Attempt at a Solution

I attempted to compare it with n/(n)^3/2, this series diverges and is greater than the original series, so the comparison test didn't work, at least in this case. the ratio test was inconclusive as well. any help would be appreciated, thanks

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