Chapter 11, Problem 8CRQ

a.

To determine

To fill: The blank in the statement “Let ${\displaystyle \sum a_n}$ and ${\displaystyle \sum b_n}$ be series with positive terms. If $a_n\le b_n$ for all n and ${\displaystyle \sum b_n}$ converges, then ${\displaystyle \sum a_n}$ _______”.

b.

To determine

To fill: The blank in the statement “Let ${\displaystyle \sum a_n}$ and ${\displaystyle \sum b_n}$ be series with positive terms. If ${\displaystyle \sum b_n}$ diverges and _____ for all n and, then ${\displaystyle \sum a_n}$ also diverges”.