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an +1 an +1 an + 1 Recall the Ratio Test which states that, if is a series with nonzero terms, and lim < 1, then S un converges absolutely. If lim > 1, or lim = 00, then an an an n- 00 Sa, diverges. n:(-3x)" – 1 (n + 1) For any fixed value of x such that x + 0, let a, Then, (n + 1)(-3x)" an +1 n+ 2 lim = lim n(-3x)n - 1 n + 1 n00 an n 00 n + 1 (n + 1)(-3x)" . n + 2 lim n- 00 VO o! OOU U + x -1

an +1 an +1 an + 1 Recall the Ratio Test which states that, if is a series with nonzero terms, and lim < 1, then S un converges absolutely. If lim > 1, or lim = 00, then an an an n- 00 Sa, diverges. n:(-3x)" – 1 (n + 1) For any fixed value of x such that x + 0, let a, Then, (n + 1)(-3x)" an +1 n+ 2 lim = lim n(-3x)n - 1 n + 1 n00 an n 00 n + 1 (n + 1)(-3x)" . n + 2 lim n- 00 VO o! OOU U + x -1

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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an + 1 an + 1 an + 1 Recall the Ratio Test which states that, if Sa, is a series with nonzero terms, and lim n> 00 < 1, then )a, converges absolutely. If lim n> 00 > 1, or lim = 0, then an a n a n> 00 E, diverges. Ean For any fixed value of x such that x # 0, let a, n·(-3x)" %D (n + 1) Then, (n + 1)(-3x)" an + 1 n + 2 lim n→ 00 lim a in n(-3x)" - n> 00 n + 1 n + 1 (n + 1)(-3x)" . lim n> 00 n - 1 n + 2 in Vi o! 3
Transcribed Image Text:an + 1 an + 1 an + 1 Recall the Ratio Test which states that, if Sa, is a series with nonzero terms, and lim n> 00 < 1, then )a, converges absolutely. If lim n> 00 > 1, or lim = 0, then an a n a n> 00 E, diverges. Ean For any fixed value of x such that x # 0, let a, n·(-3x)" %D (n + 1) Then, (n + 1)(-3x)" an + 1 n + 2 lim n→ 00 lim a in n(-3x)" - n> 00 n + 1 n + 1 (n + 1)(-3x)" . lim n> 00 n - 1 n + 2 in Vi o! 3
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