Chapter 9.5, Problem 4ES

In each part, use the comparison test to show that the series diverges.

$\begin{array}{cc}\left(\text{a}\right){\displaystyle \underset{k=1}{\overset{\infty }{\sum }}\frac{\ln k}{k}}& \left(\text{b}\right){\displaystyle \underset{k=1}{\overset{\infty }{\sum }}\frac{k}{k^{3/2}-\frac{1}{2}}}\end{array}$