If 0 < b, < an for n > 1, which of the following must be true? A) If lim an = 0, then > bn converges. в If an converges, then lim b, = 0. n00 If b, diverges, then lim an = 0. n00 D) If an diverges, then bn diverges n=1 E If bn converges, then an converges n=1

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.2: Arithmetic Sequences
Problem 68E
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Question 11
If 0 < b < an for n > 1, which of the following must be true?
A) If lim a, = 0, then
Bn converges.
n00
в ) If
an converges, then lim b, = 0.
n00
n=1
с ) If
bn diverges, then lim am = 0.
n00
n=1
If
an diverges, then
bn diverges
D
n=1
00
E) If
bn converges, then
an converges
n=1
Transcribed Image Text:Question 11 If 0 < b < an for n > 1, which of the following must be true? A) If lim a, = 0, then Bn converges. n00 в ) If an converges, then lim b, = 0. n00 n=1 с ) If bn diverges, then lim am = 0. n00 n=1 If an diverges, then bn diverges D n=1 00 E) If bn converges, then an converges n=1
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