Chapter 9, Problem 18RE

Use any method to determine whether the series converge.

$\begin{array}{l}\text{(a)}{\displaystyle \underset{k=1}{\overset{\infty }{\sum }}\frac{\ln k}{k\sqrt{k}}}\\ \text{(b)}{\displaystyle \underset{k=1}{\overset{\infty }{\sum }}\frac{k^{4/3}}{8k^2+5k+1}}\end{array}$