Alternating series modules
After completing this section, students should be able to do the following.
- Determine if a series converges using the alternating series test.
- Determine if a series converges absolutely.
- Determine if a series converges conditionally.
- Determine if an alternating series diverges.
The integral test
Certain infinite series can be studied using improper integrals.
The alternating series test
Alternating series are series whose terms alternate in sign between positive and negative. There is a powerful convergence test for alternating series.