Absolute and conditional convergence module
After completing this section, students should be able to do the following.
- Determine if a series converges absolutely or conditionally.
- Answer conceptual questions about absolute convergence
Absolute and Conditional Convergence
The basic question we wish to answer about a series is whether or not the series converges. If a series has both positive and negative terms, we can refine this question and ask whether or not the series converges when all terms are replaced by their absolute values. This is the distinction between absolute and conditional convergence, which we explore in this section.