Determine whether each sequence converges or diverges; if it conv In(n +a) lim where a and b are positive constants. n→∞ In(1+ bn)' n00

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.3: Geometric Sequences
Problem 82E
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1.
) Determine whether each sequence converges or diverges; if it converges, state the limit.
(a)
In(n +a)
lim
where a and b are positive constants.
n→∞ In(1+bn)
аn + c
lim
n+00 Vc²n² + 1
where a and c are positive constants.
Transcribed Image Text:1. ) Determine whether each sequence converges or diverges; if it converges, state the limit. (a) In(n +a) lim where a and b are positive constants. n→∞ In(1+bn) аn + c lim n+00 Vc²n² + 1 where a and c are positive constants.
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