This tells us that rearrangementdoesnot affect absoluteconvergence.
ReviewQuestions
Determineif the seriesconvergesor diverges.
1.
2.
- Computes 3 for.
- The series convergesaccordingto the AlternatingSeriesTest. Let.
Computes 3 for and determinethe boundon |s 3 - S|.
- The series convergesaccordingto the AlternatingSeriesTest. Let.
Computes 4 for and determinethe boundon |s 4 - S|.
The series convergesaccordingto the AlternatingSeriesTest. Let.
Find the leastvalueofnsuchthat:
6.
7.
8.
Determineif eachseriesconvergesabsolutely, convergesconditionally, or diverges.