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What is the interval of convergence for power series 00 Σ2nx"? n=1 A. [-1,1] B. (-1,1) C. (-∞,∞) D. {0}

What is the interval of convergence for power series 00 Σ2nx"? n=1 A. [-1,1] B. (-1,1) C. (-∞,∞) D. {0}

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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### Interval of Convergence for Power Series **Question:** What is the interval of convergence for the power series \[ \sum_{n=1}^{\infty} 2n x^n \] **Options:** A. \([-1, 1]\) B. \((-1, 1)\) C. \((-\infty, \infty)\) D. \(\{0\}\) **Correct Answer:** The interval of convergence for this power series is indicated with the multiple-choice option: - \( \boxed{A} \)
Transcribed Image Text:### Interval of Convergence for Power Series **Question:** What is the interval of convergence for the power series \[ \sum_{n=1}^{\infty} 2n x^n \] **Options:** A. \([-1, 1]\) B. \((-1, 1)\) C. \((-\infty, \infty)\) D. \(\{0\}\) **Correct Answer:** The interval of convergence for this power series is indicated with the multiple-choice option: - \( \boxed{A} \)
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