+∞ n(3x + 2)n n³+4 Consider the power series Σ n=1 1. Show that the series is absolutely convergent when x = -1. 2. Find the interval of convergence of the power series.

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
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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+∞o n(3x + 2)n
n³ +4
Consider the power series Σ
n=1
1. Show that the series is absolutely convergent when x = -1.
2. Find the interval of convergence of the power series.
Transcribed Image Text:+∞o n(3x + 2)n n³ +4 Consider the power series Σ n=1 1. Show that the series is absolutely convergent when x = -1. 2. Find the interval of convergence of the power series.
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