1 (a) E(-1)": ( η+ 3) Inn n=0

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter9: Sequences, Probability And Counting Theory
Section9.4: Series And Their Notations
Problem 10TI: Determine whether the sum of the infinite series is defined. 24+(12)+6+(3)+
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Test the following series are convergent or divergent. Show your work and
state the test or theorem you use.
1
In n
2n
( a) Σ-1
(d) (-1)":
(g) Im(;
(n +3) ln n
Зп + 1
n=0
n=
n=1
4
3
(b) E
(e) Σ
Vn (n + 1) (n +2)
n° +1
(h) >
8n + 5
n=1
3n
n=
n=1
3(n + 1)2
(c) £2*
(f)
In n
n=2
n(n + 4)
n=1
n=1
Transcribed Image Text:Test the following series are convergent or divergent. Show your work and state the test or theorem you use. 1 In n 2n ( a) Σ-1 (d) (-1)": (g) Im(; (n +3) ln n Зп + 1 n=0 n= n=1 4 3 (b) E (e) Σ Vn (n + 1) (n +2) n° +1 (h) > 8n + 5 n=1 3n n= n=1 3(n + 1)2 (c) £2* (f) In n n=2 n(n + 4) n=1 n=1
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