Question 3 Answer each of the following with convergent, divergent, or cannot conclude from the given information. a) If lima, 2, then a b) If lima, = 0, then a, %3D c) If b, diverges and 0sa, sb, for all n2 4, then n=1 d) If b, converges and 0sa, s b, for all n 22, then an 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 46E
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Question 3 Answer each of the following with convergent, divergent, or cannot conclude from the given
information.
a) If lima, 2, then a
b) If lima, = 0, then a,
%3D
c) If b, diverges and 0sa, sb, for all n2 4, then
n=1
d) If b, converges and 0sa, s b, for all n 22, then
an
n=1
Transcribed Image Text:Question 3 Answer each of the following with convergent, divergent, or cannot conclude from the given information. a) If lima, 2, then a b) If lima, = 0, then a, %3D c) If b, diverges and 0sa, sb, for all n2 4, then n=1 d) If b, converges and 0sa, s b, for all n 22, then an n=1
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