If the ratio test is applied to the series - , which of the following inequalities results, implying that the series converges? 17" n=0 lim n7 <1 17 B (n+1)7 lim <1 17n n00 (n+1)x² C lim <1 n00 17n 17n lim nH00 (n+1)x² D <1

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.3: Geometric Sequences
Problem 49E
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If the ratio test is applied to the series
2n
NT
,which of the following inequalities results, implying that the series converges?
17"
n=0
A
lim nn
n o 17 <]
B
(n+1)7
lim
<1
n-00
17n
(n+1),²
lim
< 1
17n
n00
17n
lim
NH00 (n+1)a2
<1
IM:
Transcribed Image Text:If the ratio test is applied to the series 2n NT ,which of the following inequalities results, implying that the series converges? 17" n=0 A lim nn n o 17 <] B (n+1)7 lim <1 n-00 17n (n+1),² lim < 1 17n n00 17n lim NH00 (n+1)a2 <1 IM:
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