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Numerade Educator

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Problem 6 Easy Difficulty

Determine whether the series converges or diverges.
$ \displaystyle \sum_{n = 1}^{\infty} \frac {n - 1}{n^3 + 1} $

Answer

Converges

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Video Transcript

Okay, let's get started. Determine why the Siri's poverty's a diver teas so we can transform. This year's a little bit. This is equal to and from one's for infinity one minus when you were in over and squired for us when we were in. No, look at this term. This is equipment too, Sil. We're looking for its equivalence. So this is equipment too. One who is where? When in this large enough, Let's see in ghostly infinity. And we know that this Siri's and thus converged because this is the P serous and the Pecos to two. So our concluding this serious the convergence