Determine if the given sequence converges or diverges. If it converges, what is its limit? n+11 (d) In(6n) ) n=2 5+ 3n³ (a) 2n2 — бп + 5 n=0 9n4 + 6n2 (b) 1 ón4 – 5n² + 9 J (e) an = ln(6n³ – 4) – In(3n³ + 5n² – 7n + 8) n=6 (-1)"+7(2 – 8n) (c) n² + 9 (f) {cos(nr)}0 n=2 n=0

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.3: Geometric Sequences
Problem 49E
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Determine if the given sequence converges or diverges. If it converges, what is its limit?
8∞
n +1)
In(6n) J
5+ 3n3
(a)
2n2
(d) {
бп + 5
n=0
n=2
9n4 + 6n2
{
(Ъ)
(e) an = In(6n³ – 4) – In(3n³ + 5n² – 7n + 8)
6n4 – 5n2 + 9
(-1)ª+7(2 – 8n) l
n2 +9
-
n=6
(c)
(f) {cos(nT)}n=0
n=2
Transcribed Image Text:Determine if the given sequence converges or diverges. If it converges, what is its limit? 8∞ n +1) In(6n) J 5+ 3n3 (a) 2n2 (d) { бп + 5 n=0 n=2 9n4 + 6n2 { (Ъ) (e) an = In(6n³ – 4) – In(3n³ + 5n² – 7n + 8) 6n4 – 5n2 + 9 (-1)ª+7(2 – 8n) l n2 +9 - n=6 (c) (f) {cos(nT)}n=0 n=2
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