Chapter 9.5, Problem 2ES

Make a guess about the convergence or divergence of the series, and confirm your guess using the comparison test.

$\begin{array}{cc}\left(\text{a}\right){\displaystyle \underset{k=2}{\overset{\infty }{\sum }}\frac{k+1}{k^2-k}}& \left(\text{b}\right){\displaystyle \underset{k=1}{\overset{\infty }{\sum }}\frac{2}{k^4+k}}\end{array}$