What is the interval of convergence for power series & n³ (x+1)”. -? 3" n=1 A.(-3,3) 4 2 B. —— 3 C.(-4,2) D.(-1,1) 7 23

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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**Question:**
What is the interval of convergence for the power series \(\sum_{n=1}^{\infty} \frac{n^3 (x+1)^n}{3^n}\)?

**Options:**
A. \((-3, 3)\)

B. \(\left( \frac{-4}{3}, \frac{2}{3} \right)\)

C. \((-4, 2)\)

D. \((-1, 1)\)
Transcribed Image Text:**Question:** What is the interval of convergence for the power series \(\sum_{n=1}^{\infty} \frac{n^3 (x+1)^n}{3^n}\)? **Options:** A. \((-3, 3)\) B. \(\left( \frac{-4}{3}, \frac{2}{3} \right)\) C. \((-4, 2)\) D. \((-1, 1)\)
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