Power Series, Interval of Convergence Chapter 8.8 Power Series, Interval of Convergence 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. 11/30/2018 ESLR -Tracy High Graduates will be Independent Learners Who Set realistic and challenging goals
Power Series, Interval of Convergence Chapter 8.8 Power Series, Interval of Convergence 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. 11/30/2018 ESLR -Tracy High Graduates will be Independent Learners Who Set realistic and challenging goals
For what value(s) of x does the power series converge? Chapter 8.8 Power Series, Interval of Convergence 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. For what value(s) of x does the power series converge? 11/30/2018 ESLR -Tracy High Graduates will be Independent Learners Who Set realistic and challenging goals
For what value(s) of x does the power series converge? Chapter 8.8 Power Series, Interval of Convergence 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. For what value(s) of x does the power series converge? 11/30/2018 ESLR -Tracy High Graduates will be Independent Learners Who Set realistic and challenging goals
For what value(s) of x does the series converge? Chapter 8.8 Power Series, Interval of Convergence 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. For what value(s) of x does the series converge? 11/30/2018 ESLR -Tracy High Graduates will be Independent Learners Who Set realistic and challenging goals
Ratio Test Chapter 8.8 Power Series, Interval of Convergence 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. Ratio Test 11/30/2018 ESLR -Tracy High Graduates will be Independent Learners Who Set realistic and challenging goals
For what value(s) of x does the power series converge? Chapter 8.8 Power Series, Interval of Convergence 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. For what value(s) of x does the power series converge? Radius of convergence Centered at x=0 11/30/2018 ESLR -Tracy High Graduates will be Independent Learners Who Set realistic and challenging goals
Power Series, Interval of Convergence Chapter 8.8 Power Series, Interval of Convergence 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. 11/30/2018 ESLR -Tracy High Graduates will be Independent Learners Who Set realistic and challenging goals
Remember that the ratio test is inconclusive when the ratio = 1. Chapter 8.8 Power Series, Interval of Convergence 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. MUST PLUG IN ENDPOINTS AND CHECK TO SEE IF x=1 or x=3 cause convergence or divergence. Remember that the ratio test is inconclusive when the ratio = 1. 11/30/2018 ESLR -Tracy High Graduates will be Independent Learners Who Set realistic and challenging goals
Power Series, Interval of Convergence Chapter 8.8 Power Series, Interval of Convergence 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. 11/30/2018 ESLR -Tracy High Graduates will be Independent Learners Who Set realistic and challenging goals
Power Series, Interval of Convergence Chapter 8.8 Power Series, Interval of Convergence 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. 11/30/2018 ESLR -Tracy High Graduates will be Independent Learners Who Set realistic and challenging goals
Power Series, Interval of Convergence Chapter 8.8 Power Series, Interval of Convergence 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. 11/30/2018 ESLR -Tracy High Graduates will be Independent Learners Who Set realistic and challenging goals
Power Series, Interval of Convergence Chapter 8.8 Power Series, Interval of Convergence 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. 11/30/2018 ESLR -Tracy High Graduates will be Independent Learners Who Set realistic and challenging goals
Power Series, Interval of Convergence Chapter 8.8 Power Series, Interval of Convergence 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. 11/30/2018 ESLR -Tracy High Graduates will be Independent Learners Who Set realistic and challenging goals
Practice: Pg. 623 #1-21 odd, 43-46, 48 Chapter 8.8 Power Series, Interval of Convergence 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. 623 #1-21 odd, 43-46, 48 11/30/2018 ESLR -Tracy High Graduates will be Independent Learners Who Set realistic and challenging goals