Chapter 8.4, Problem 60E

a.

To determine

To find: The series that converges faster than ${\displaystyle \sum \frac{1}{k^2}}$ but slower than ${\displaystyle \sum \frac{1}{k^3}}$.

b.

To determine

To find: The series that diverges faster than ${\displaystyle \sum \frac{1}{k}}$ but slower than ${\displaystyle \sum \frac{1}{\sqrt{k}}}$.

c.

To determine

To find: The series that converges faster than ${\displaystyle \sum \frac{1}{k{\ln }^{2}k}}$ but slower than ${\displaystyle \sum \frac{1}{k^2}}$.