Consider the sequence defined by a, = In(2n³ + 2) – In(5n³+2n² + 4). Find the limit of an as n → ∞. Does this sequence converge?

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter2: The Integers
Section2.2: Mathematical Induction
Problem 52E: Given the recursively defined sequence a1=1,a2=3,a3=9, and an=an13an2+9an3, use complete induction...
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Consider the sequence defined by an = In(2n³ + 2) – In(5n³+2n² + 4). Find the
limit of an as n → ∞. Does this sequence converge?
Transcribed Image Text:Consider the sequence defined by an = In(2n³ + 2) – In(5n³+2n² + 4). Find the limit of an as n → ∞. Does this sequence converge?
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