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Determine whether the series converges or diverges.

$ \displaystyle \sum_{n = 1}^{\infty} \frac {1}{\sqrt [3]{3n^4 + 1}} $

Convergent.

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Missouri State University

Campbell University

Idaho State University

less determined whether the Siri's convergence or diverges now, since three into the fourth plus one, is bigger than three into the fourth. This means at the Q brew is also larger. But this means that if I flip both sides and after flipped inequality as well, therefore over here, I could actually just use less than I guess, because I am going to infinity. I should put equals just in case they're they're both infinity, So one over Q Brew of three. Answer the fourth. Now let's go in and simplify this. So that's our P value. We see that we have a P series here and equals one to Infinity won over the humor of three times and so the for over three. So this convergence by the Peters with P equals for over three, and that's bigger than one. So by the comparison test, our Siri's also emerges, and that's your final answer.