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Power Series, Geometric

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Presentation on theme: "Power Series, Geometric"— Presentation transcript:

1 Power Series, Geometric
Chapter 8.9 Power Series, Geometric 23.0 Students demonstrate an understanding of the definitions of convergence and divergence of sequences and series of real numbers. By using such tests as the comparison test, ratio test, and alternate series test, they can determine whether a series converges. Wednesday, May 22, 2019 ESLR -Tracy High Graduates will be Independent Learners Who Set realistic and challenging goals

2 Use ratio to find the interval of convergence
Chapter 8.9 Power Series, Geometric 23.0 Students demonstrate an understanding of the definitions of convergence and divergence of sequences and series of real numbers. By using such tests as the comparison test, ratio test, and alternate series test, they can determine whether a series converges. Use ratio to find the interval of convergence (endpoints will not converge for a geometric series) Usually negatives are brought out of the ratio when there is an alternating series. Wednesday, May 22, 2019 ESLR -Tracy High Graduates will be Independent Learners Who Set realistic and challenging goals

3 Power Series, Geometric
Chapter 8.9 Power Series, Geometric 23.0 Students demonstrate an understanding of the definitions of convergence and divergence of sequences and series of real numbers. By using such tests as the comparison test, ratio test, and alternate series test, they can determine whether a series converges. Wednesday, May 22, 2019 ESLR -Tracy High Graduates will be Independent Learners Who Set realistic and challenging goals

4 Use ratio to find the interval of convergence
Chapter 8.9 Power Series, Geometric 23.0 Students demonstrate an understanding of the definitions of convergence and divergence of sequences and series of real numbers. By using such tests as the comparison test, ratio test, and alternate series test, they can determine whether a series converges. Use ratio to find the interval of convergence (endpoints will not converge for a geometric series) Wednesday, May 22, 2019 ESLR -Tracy High Graduates will be Independent Learners Who Set realistic and challenging goals

5 Power Series, Geometric
Chapter 8.9 Power Series, Geometric 23.0 Students demonstrate an understanding of the definitions of convergence and divergence of sequences and series of real numbers. By using such tests as the comparison test, ratio test, and alternate series test, they can determine whether a series converges. Wednesday, May 22, 2019 ESLR -Tracy High Graduates will be Independent Learners Who Set realistic and challenging goals

6 Power Series, Geometric
Chapter 8.9 Power Series, Geometric 23.0 Students demonstrate an understanding of the definitions of convergence and divergence of sequences and series of real numbers. By using such tests as the comparison test, ratio test, and alternate series test, they can determine whether a series converges. Wednesday, May 22, 2019 ESLR -Tracy High Graduates will be Independent Learners Who Set realistic and challenging goals

7 Power Series, Geometric
Chapter 8.9 Power Series, Geometric 23.0 Students demonstrate an understanding of the definitions of convergence and divergence of sequences and series of real numbers. By using such tests as the comparison test, ratio test, and alternate series test, they can determine whether a series converges. Wednesday, May 22, 2019 ESLR -Tracy High Graduates will be Independent Learners Who Set realistic and challenging goals

8 Practice: Pg. 630 #1, 4-12 Chapter 8.9 Power Series, Geometric
23.0 Students demonstrate an understanding of the definitions of convergence and divergence of sequences and series of real numbers. By using such tests as the comparison test, ratio test, and alternate series test, they can determine whether a series converges. Practice:  Pg. 630 #1, 4-12 Wednesday, May 22, 2019 ESLR -Tracy High Graduates will be Independent Learners Who Set realistic and challenging goals


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