Determine the limit of the series, or state that the series diverges. Show the reason to support your answer. 3п + 27 ( a) Σ 4n n=2 n2 +1 b) Σ-1-1, 2n2 +n – 1 n=2 3 (c) (3n – 1)(3n +2) Hint: Use partial fractions and telescoping method. - n=1

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 the limit of the series, or state that the series diverges. Show the reason to support your
answer.
3n + 2"
(a)
4n
n=2
n2 +1
(b) Σ-1)"-1,
2n2 + n –
1'
n=2
(c)
Hint: Use partial fractions and telescoping method.
(Зп — 1) (3п + 2)
n=1
Transcribed Image Text:Determine the limit of the series, or state that the series diverges. Show the reason to support your answer. 3n + 2" (a) 4n n=2 n2 +1 (b) Σ-1)"-1, 2n2 + n – 1' n=2 (c) Hint: Use partial fractions and telescoping method. (Зп — 1) (3п + 2) n=1
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