4. Let Sn = a; be the nth partial sum of the series an. Suppose that Sn is given by Sn = 5-; 2 n2. i=1 n=1

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.1: Infinite Sequences And Summation Notation
Problem 33E
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n
∞
4. Let Sn = Σ ai be the nth partial sum of the series Σ an. Suppose that Sn is given by Sn = 5-
i=1
n=1
2
n²
Transcribed Image Text:n ∞ 4. Let Sn = Σ ai be the nth partial sum of the series Σ an. Suppose that Sn is given by Sn = 5- i=1 n=1 2 n²
(e) Determine whether the series an converges or diverges. If it converges, find its sum.
(f) Find lim
n→∞
2a² +4
5an + 2
n=1
Transcribed Image Text:(e) Determine whether the series an converges or diverges. If it converges, find its sum. (f) Find lim n→∞ 2a² +4 5an + 2 n=1
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