+∞ n(3x + 2)" Consider the power series Σ n³ +4 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
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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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Apply telescoping formula if applicable. Check if all the conditions are satisfied. Please justify your answers and be clear or detailed as much as possible with your solutions. Thank you!
+∞ n(3x + 2)"
Consider the power series Σ n³ +4
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:+∞ n(3x + 2)" Consider the power series Σ n³ +4 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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