Let {a,},{b,} be sequences of real numbers satisfying Ja,|s[b,| for all n 21. Then (a) Za, converges whenever Eb. converges (b) 2an converges absolutely whenever 2bn converges absolutely (c) 2b. converges whenever 2a. converges (d) 2b, converges absolutely whenever 2an converges absolutely If La, is absolutely convergent, then which na1 of the following is NOT true? (a) am→0 as n → ∞ men (b) Ea, sinn is convergent (e) Ž an is divergent (4) Ža; is divergent n=1

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.1: Infinite Sequences And Summation Notation
Problem 72E
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Let {a,},{b,} be sequences of real numbers
satisfying Ja,|s|b,| for all n21. Then
(a) Ea, converges whenever Eb
converges
(b) 2an converges absolutely whenever
2b. converges absolutely
(c) 2b. converges whenevėr Ea,
erges
(d) 2b, converges absolutely whenever
Lan converges absolutely
If La, is absolutely convergent, then which
nal
of the following is NOT true?
(a) am→0 as n→ 0
men
(b) Ea, sinn is convergent
(e) Ee
ean
is divergent
(d)
Ca is divergent
Transcribed Image Text:Let {a,},{b,} be sequences of real numbers satisfying Ja,|s|b,| for all n21. Then (a) Ea, converges whenever Eb converges (b) 2an converges absolutely whenever 2b. converges absolutely (c) 2b. converges whenevėr Ea, erges (d) 2b, converges absolutely whenever Lan converges absolutely If La, is absolutely convergent, then which nal of the following is NOT true? (a) am→0 as n→ 0 men (b) Ea, sinn is convergent (e) Ee ean is divergent (d) Ca is divergent
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