Chapter 9.5, Problem 1QCE

Select between converges or diverges to fill the first blank

The series ${\displaystyle \underset{k=1}{\overset{\infty }{\sum }}\frac{2k^2+1}{2k^{8/3}-1}}$ $\text{\_\_\_\_\_\_}$ by comparison with the p-series ${\displaystyle {\sum }_{k=1}^{\infty }\text{\_\_\_\_\_\_}.}$