Chapter 8, Problem 82SP

(a)

To determine

To prove or disprove: If ${\displaystyle \sum a_k}$ and ${\displaystyle \sum b_k}$ are both divergent series, then ${\displaystyle \sum \left(a_k+b_k\right)}$ is also divergent”.

(b)

To determine

To prove or disprove: If ${\displaystyle \sum a_k}$ and ${\displaystyle \sum b_k}$ are both divergent series, then ${\displaystyle \sum \left(a_k+b_k\right)}$ is also divergent”.