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
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
Section10.3: Geometric Sequences
Problem 82E
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