n (a) The geometric series -3 2 n=0 (b) If lim an = 0, then Σan converges. 818 (c) If an diverges, then an diverges. converges.
n (a) The geometric series -3 2 n=0 (b) If lim an = 0, then Σan converges. 818 (c) If an diverges, then an diverges. converges.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
Determine if True or False. Show work.
Transcribed Image Text:In
(a) The geometric series-3
(²)
converges.
n=0
(b) If lim an = 0, then Σan converges.
81x
(c) If an diverges, then ➤|an| diverges.
(d) If an converges conditionally, then ➤|an| diverges.
n
1
(e) Σ
[² (²¹)" -
2
3
1 –
-0
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