Problem 0.2 verges or diverges. If it is convergent, write the limit. (1) an = (2) an = (3) an = Decide whether each of the following sequences con- 3n²-4n³ 2n³-7 4n+1 22n+n4 sin(n²)
Problem 0.2 verges or diverges. If it is convergent, write the limit. (1) an = (2) an = (3) an = Decide whether each of the following sequences con- 3n²-4n³ 2n³-7 4n+1 22n+n4 sin(n²)
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section: Chapter Questions
Problem 2RE
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Question
![Problem 0.2
verges or diverges. If it is convergent, write the limit.
(1) an
(2) an
=
3n²-4n³
2n³-7
4n+1
= 22n+n4
sin(n²)
n
2"
n³+3n
vn
=
(3) an
(4) an =
(5) an
Decide whether each of the following sequences con-
For (5), show that an in fact converges to 1 as n → ∞, by computing the
limit of log an.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3ef06bb3-2d9b-4f27-bb3b-835b443ab608%2Fd5633524-ddbc-480c-b2fa-ce2083abe46e%2Fzjbwmm_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Problem 0.2
verges or diverges. If it is convergent, write the limit.
(1) an
(2) an
=
3n²-4n³
2n³-7
4n+1
= 22n+n4
sin(n²)
n
2"
n³+3n
vn
=
(3) an
(4) an =
(5) an
Decide whether each of the following sequences con-
For (5), show that an in fact converges to 1 as n → ∞, by computing the
limit of log an.
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