Determine if the given sequence converges or diverges. If it converges, what is its limit? 5 + 3n3 (a) 2n2 - 6n + 5 (4) {n(on) n+10 In(6n) J n=2 n=0 9n + 6n?1 (b) 6n4 - 5n2 +9 (e) an = In(6n³ – 4) – In(3n³ + 5n? – 7n + 8) %3D n=6 (-1)"+7(2 – 8n) | n² +9 (c) (f) {cos(n7)}o In=2

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 72E
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Determine if the given sequence converges or diverges. If it converges, what is its limit?
5+ 3n3
(a)
2n2 – 6n + 5
n+1 ) *
(d)
In(6n) J n=2
(4) {E
n=0
9n + 6n2
(b)
6n4 – 5n² + 9
(e) an = In(6n³ – 4) – In(3n³ + 5n² – 7n + 8)
%3D
n=6
(-1)"+7(2 – 8n) \
n² + 9
(c)
(f) {cos(n7)}o
In=2
Transcribed Image Text:Determine if the given sequence converges or diverges. If it converges, what is its limit? 5+ 3n3 (a) 2n2 – 6n + 5 n+1 ) * (d) In(6n) J n=2 (4) {E n=0 9n + 6n2 (b) 6n4 – 5n² + 9 (e) an = In(6n³ – 4) – In(3n³ + 5n² – 7n + 8) %3D n=6 (-1)"+7(2 – 8n) \ n² + 9 (c) (f) {cos(n7)}o In=2
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