Use the following results, if needed, to determine whether each series converges or diverges. If the series ug converges and the series vk diverges, then the series (uk + Vk) and (uk - Vk) both diverge. If the series Vk both diverge, then the series (uk + V) and (u-VR) may either converge or diverge. Uk and (a) 1 Σ [k(In k) k6 k=2 4. (b) Σ ke k In k k=2

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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Use the following results, if needed, to determine whether each series converges or diverges.
If the series
uz converges and the series > Vk diverges, then the series > (uz + Vk) and (uk – Vk) both diverge.
If the series
uz and
Vk both diverge, then the series (ux + V) and
(u – Vk) may either converge or diverge.
(a)
1
1
Σ
[*(In k)*
k6
k=2
4
(b) ke
k In k
k=2
Transcribed Image Text:Use the following results, if needed, to determine whether each series converges or diverges. If the series uz converges and the series > Vk diverges, then the series > (uz + Vk) and (uk – Vk) both diverge. If the series uz and Vk both diverge, then the series (ux + V) and (u – Vk) may either converge or diverge. (a) 1 1 Σ [*(In k)* k6 k=2 4 (b) ke k In k k=2
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