(-3)"(x – 2)" Vn+2 Consider the power series 1. Use Limit Comparison Test to show that the series diverges when x = 2. Use Alternating Series Test to show that the series converges when x = 3. Determine the radius and interval of convergence of the power series. unim

College Algebra
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ISBN:9781938168383
Author:Jay Abramson
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Chapter9: Sequences, Probability And Counting Theory
Section9.4: Series And Their Notations
Problem 10TI: Determine whether the sum of the infinite series is defined. 24+(12)+6+(3)+
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Given the power series. Answer all the sub-questions that follow. Kindly provide complete solutions.

(-3)"(x – 2)"
Vn+2
Consider the power series
n=0
1. Use Limit Comparison Test to show that the series diverges when x =
2. Use Alternating Series Test to show that the series converges when x =
3. Determine the radius and interval of convergence of the power series.
Transcribed Image Text:(-3)"(x – 2)" Vn+2 Consider the power series n=0 1. Use Limit Comparison Test to show that the series diverges when x = 2. Use Alternating Series Test to show that the series converges when x = 3. Determine the radius and interval of convergence of the power series.
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