Determine whether the series ∑k=0^∞(√(k))/(√(k^3 + 1)) converges or diverges.

Name: Determine whether the series ∑k=0^∞(√(k))/(√(k^3 + 1)) converges or diverges.
Uploaded: 2022-03-18T23:11:56-08:00
Duration: 1 min 3 s
Channel: Nick Johnson
Description: Determine whether the series ∑k=0^∞(√(k))/(√(k^3 + 1)) converges or diverges.

Question

Nick Johnson · Accepted Answer

All right, so here we have our A sub -N is equal to n to the 1 plus 4n cubed plus 1 all over 2 i

Question

Determine whether the series $\sum_{k=0}^{\infty} \frac{\sqrt{k}}{\sqrt{k^3 + 1}}$ converges or diverges.

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