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Find the interval of convergence for the power series 00 (x+ 2)" Enter your answer using interval 3. n= 1 n° · 3"

Find the interval of convergence for the power series 00 (x+ 2)" Enter your answer using interval 3. n= 1 n° · 3"

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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**Power Series Interval of Convergence** Find the interval of convergence for the power series \[ \sum_{n=1}^{\infty} \frac{(x+2)^n}{n^3 \cdot 3^n}. \] Enter your answer using interval notation, being sure to use \( (a, b) \), \([a, b]\), \( (a, b] \), or \([a, b)\) appropriately. Copy/paste this infinity symbol ∞, if needed. [Input Box] [Share With Class Button]
Transcribed Image Text:**Power Series Interval of Convergence** Find the interval of convergence for the power series \[ \sum_{n=1}^{\infty} \frac{(x+2)^n}{n^3 \cdot 3^n}. \] Enter your answer using interval notation, being sure to use \( (a, b) \), \([a, b]\), \( (a, b] \), or \([a, b)\) appropriately. Copy/paste this infinity symbol ∞, if needed. [Input Box] [Share With Class Button]
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