1. Section 13.7 – Conditional Convergence

2. The Alternating Series Test for Conditional Convergence
If all of the following properties hold for a series:
the series CONVERGES CONDITIONALLY.

3. The series contains negative terms, so we must
look at absolute convergence.
Alternating Series Test
1. The series is not alternating.
The series does not pass the Alternating Series Test.
Therefore, the series diverges.

4. The series contains negative terms, so we must
look at absolute convergence.
Alternating Series Test:
1. The series is alternating.
The series does not pass the Alternating Series Test.
Therefore, the series diverges.

5. The series contains negative terms, so we must
look at absolute convergence.
Alternating Series Test:
1. The series is alternating.
The series CONVERGES CONDITIONALLY by the Alternating Series Test

6. The series contains negative terms, so we must
look at absolute convergence.
Alternating Series Test:
1. The series is alternating.
The series CONVERGES CONDITIONALLY by the Alternating Series Test

7. The series contains negative terms, so we must
look at absolute convergence.
Alternating Series Test:
1. The series is alternating.
The series CONVERGES CONDITIONALLY by the Alternating Series Test

8. The series contains negative terms, so we must
look at absolute convergence.
Alternating Series Test:
1. The series is alternating.
The series does not pass the Alternating Series Test.
Therefore, the series diverges.