Determine convergence or divergence by any method. (-1)"n Vn? + 8 n=0

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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Determine convergence or divergence by any method.
00
(-1)"n
n² + 8
n=0
The series
converges, since the terms alternate.
converges, since the terms are smaller than 1.
n
diverges, since lim,-»∞ an # 0.
n→
diverges, since the terms are larger than .
converges, since lim,→∞ an = 0.
Transcribed Image Text:Determine convergence or divergence by any method. 00 (-1)"n n² + 8 n=0 The series converges, since the terms alternate. converges, since the terms are smaller than 1. n diverges, since lim,-»∞ an # 0. n→ diverges, since the terms are larger than . converges, since lim,→∞ an = 0.
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