Section 13.7 – Conditional Convergence

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Presentation transcript:

Section 13.7 – Conditional Convergence

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

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.

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.

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

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

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

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.