(1) lim an + 0 implies that > An diverges . n=0 True. False. Check one. lim an + 0 is a necessary condition for the divergence of (2) n → 00 Σ An. n=0 True. False. Check one. (3) lim an An. 0 is a necessary condition for the convergence of > n=0 True. False. Check one. (4) The convergence of > An implies lim an 0. n → 00 n=0 True. False. Check one.

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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true or false

(1)
lim an + 0 implies that >
An
diverges .
n=0
True.
False.
Check one.
lim an + 0 is a necessary condition for the divergence of
(2)
n → 00
Σ
An.
n=0
True.
False.
Check one.
(3)
lim an
An.
0 is a necessary condition for the convergence of >
n=0
True.
False.
Check one.
(4)
The convergence of >
An
implies
lim an
0.
n → 00
n=0
True.
False.
Check one.
Transcribed Image Text:(1) lim an + 0 implies that > An diverges . n=0 True. False. Check one. lim an + 0 is a necessary condition for the divergence of (2) n → 00 Σ An. n=0 True. False. Check one. (3) lim an An. 0 is a necessary condition for the convergence of > n=0 True. False. Check one. (4) The convergence of > An implies lim an 0. n → 00 n=0 True. False. Check one.
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