14 Select between converges or diverges to fill the first blank.The seriesk=12k2 +

Chapter 9, Problem 1

(choose chapter or problem)

Select between converges or diverges to fill the first blank.

The series

\(\sum_{k=1}^{\infty} \frac{2 k^{2}+1}{2 k^{8 / 3}-1}\)

________ by comparison with the \(p \text { - series } \sum_{k-1}^{\infty}\)______.

Equation Transcription:

series _____

Text Transcription:

Sum over k=1 ^infty 2k^2+1/2k^8/3 -1

p-series sum_k-1 ^infty _____

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