-) {in(6n) 2 n=2 =) an = In(6n³ – 4) – ) {cos(nt)}0 n=0

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