Power Series, Geometric

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A series converges to λ if the limit of the sequence of the n-thpartial sum of the series is equal to λ.
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Presentation transcript:

Power Series, Geometric Chapter 9.9 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. Tuesday, May 28, 2019 ESLR -Tracy High Graduates will be Independent Learners Who Set realistic and challenging goals

Check with calculator Chapter 9.9 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. Check with calculator Tuesday, May 28, 2019 ESLR -Tracy High Graduates will be Independent Learners Who Set realistic and challenging goals

https://www.desmos.com/calculator/tziv1eakgz Chapter 9.9 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. https://www.desmos.com/calculator/tziv1eakgz Tuesday, May 28, 2019 ESLR -Tracy High Graduates will be Independent Learners Who Set realistic and challenging goals

Use ratio to find the interval of convergence Chapter 9.9 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) Negatives are brought out of the ratio when there is an alternating series. Tuesday, May 28, 2019 ESLR -Tracy High Graduates will be Independent Learners Who Set realistic and challenging goals

Power Series, Geometric Chapter 9.9 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. Tuesday, May 28, 2019 ESLR -Tracy High Graduates will be Independent Learners Who Set realistic and challenging goals

Use ratio to find the interval of convergence Chapter 9.9 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) Tuesday, May 28, 2019 ESLR -Tracy High Graduates will be Independent Learners Who Set realistic and challenging goals

Power Series, Geometric Chapter 9.9 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. Tuesday, May 28, 2019 ESLR -Tracy High Graduates will be Independent Learners Who Set realistic and challenging goals

Power Series, Geometric Chapter 9.9 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. Tuesday, May 28, 2019 ESLR -Tracy High Graduates will be Independent Learners Who Set realistic and challenging goals

Power Series, Geometric Chapter 9.9 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. Tuesday, May 28, 2019 ESLR -Tracy High Graduates will be Independent Learners Who Set realistic and challenging goals

Practice: Chapter 9.9 Power Series, Geometric Tuesday, May 28, 2019 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:  Tuesday, May 28, 2019 ESLR -Tracy High Graduates will be Independent Learners Who Set realistic and challenging goals