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The series n=1 (2n − 1)! (n + 2)! O is absolutely convergent O is conditionally convergent, but not absolutely convergent O is divergent

The series n=1 (2n − 1)! (n + 2)! O is absolutely convergent O is conditionally convergent, but not absolutely convergent O is divergent

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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**The Series Evaluation** The mathematical series to evaluate is given by: \[ \sum_{n=1}^{\infty} \frac{(2n - 1)!}{(n + 2)!} \] Please select the option that best describes the convergence of this series: - ⭕ is absolutely convergent - ⭕ is conditionally convergent, but not absolutely convergent - ⭕ is divergent **Discussion:** Consider analyzing the ratio between successive terms or employing convergence tests such as the ratio test, root test, or comparison test to determine the nature of the series.
Transcribed Image Text:**The Series Evaluation** The mathematical series to evaluate is given by: \[ \sum_{n=1}^{\infty} \frac{(2n - 1)!}{(n + 2)!} \] Please select the option that best describes the convergence of this series: - ⭕ is absolutely convergent - ⭕ is conditionally convergent, but not absolutely convergent - ⭕ is divergent **Discussion:** Consider analyzing the ratio between successive terms or employing convergence tests such as the ratio test, root test, or comparison test to determine the nature of the series.
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