(1) [4+4 points] Determine whether the following series converge or diverge: k! (a) Σ 2.4.6... (2k) k=1 (b) E+1 en 'n+1 n=1 (2) [7 points] Determine whether the following series is absolutely convergent, conditie 00 convergent or divergent: >(-1)"+1 n+1 n=0

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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(1) [4+4 points] Determine whether the following series converge or diverge:
k!
(a)
2.4.6... (2k)
k=1
(b) Č
en
'n+1
n=1
(2) [7 points] Determine whether the following series is absolutely convergent, conditie
convergent or divergent: >(-1)"+1
n+1
n=0
Transcribed Image Text:(1) [4+4 points] Determine whether the following series converge or diverge: k! (a) 2.4.6... (2k) k=1 (b) Č en 'n+1 n=1 (2) [7 points] Determine whether the following series is absolutely convergent, conditie convergent or divergent: >(-1)"+1 n+1 n=0
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