3. a) Find the limit of the sequence an = (2n²+3)(n-1) n(n² + 1)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.3: Geometric Sequences
Problem 44E
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3. a) Find the limit of the sequence
an
(2n²+3)(n-1)
n(n² + 1)
b) By using the comparison test, decide if the following series converges:
∞
∞
Σ απ= Σ
n=1
n=1
If it does converge, find its limit.
(n+4)(n-1)
n(n² + 1)
Transcribed Image Text:3. a) Find the limit of the sequence an (2n²+3)(n-1) n(n² + 1) b) By using the comparison test, decide if the following series converges: ∞ ∞ Σ απ= Σ n=1 n=1 If it does converge, find its limit. (n+4)(n-1) n(n² + 1)
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