(1) Σ n=1 2 n4 + 1 (e) Σ(-1)n+1 n=1 n 1 3η + 2’ (f) Σ(-1)n+1/sinn| n4 n=1
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
d,e and f please
Transcribed Image Text:1. Determine whether the following series converge. Rigorously justify your answers
(using the convergence tests from the lecture).
(a)
n=1
Ξ
M8 M8
(8) Σ
Σ
n=1
η
n2 + 1’
η2
n4 + 1
n!
(2η)!’
(b)
n=1
2n
n!
(e) Σ(-1)n+1
n=1
1
3η + 2
(0) Σ(Σ.)
n=0 \m=0
(c)
00
n=0
(f) Σε
n=1
2n
1 + 2n'
(-1)+1/sinn|
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