+∞ 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.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section: Chapter Questions
Problem 22RE
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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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