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
Section10.1: Infinite Sequences And Summation Notation
Problem 72E
Related questions
Question
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 4 steps with 4 images
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage