TRUE OR FALSE: (a) If Zan & E Can tbn) are both convergent, n=1 then Eon is convergent. hン1 C6) Yan} is a bounded and convergent fan Snes Sequence . This means Monotone Converyence quarantees that fan 2o is monotone. (C) suppose E an anverges with sum equal Theorem 121 nにイ to 20 22. Then E'sk converges, uhere Sk= E an n=1 K:1
TRUE OR FALSE: (a) If Zan & E Can tbn) are both convergent, n=1 then Eon is convergent. hン1 C6) Yan} is a bounded and convergent fan Snes Sequence . This means Monotone Converyence quarantees that fan 2o is monotone. (C) suppose E an anverges with sum equal Theorem 121 nにイ to 20 22. Then E'sk converges, uhere Sk= E an n=1 K:1
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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Transcribed Image Text:1. TRUE OR FALSE:
(a) If ian & ËCan tbn) are both convergent,
n=1
then
Elon is convergent.
n=1
(6) { anJ is a bounded and convergent
Sequence. This meaons Monotone converg nce
Theorem querantees that fan 2 is monofone.
(C) suppose E an anverges with sum equal
n=1
IC
to
20 22. Then Esk converges, where SK= E an.
n=1
K:1
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