Determine which of the following is true. A. If a sequence {an} is convergent, then all the terms are as close to the limit as you want. B. If there are infinitely many identical terms in a sequence, then the sequence {an} is convergent. C. If infinitely many terms in a sequence are different, then the sequence must diverge. D. If a sequence is convergent, then there are infinitely many terms in any small neighborhood the limit. OA B OC D For sequence {n} with an = for all n such that n > N. A. True B. False OA sin n n there is some integer N such that - n+1 <0.000

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Please please answer both. its my last question count

Determine which of the following is true.
A. If a sequence {an} is convergent, then all the terms are as close to the limit as you want.
B. If there are infinitely many identical terms in a sequence, then the sequence {an} is
convergent.
C. If infinitely many terms in a sequence are different, then the sequence must diverge.
D. If a sequence is convergent, then there are infinitely many terms in any small neighborhood of
the limit.
OA
B
OC
D
For sequence {n} with an
for all n such
that n > N.
A. True
B. False
A
B
sin n
, there is some integer N such that n+1 <0.0001
TI
Transcribed Image Text:Determine which of the following is true. A. If a sequence {an} is convergent, then all the terms are as close to the limit as you want. B. If there are infinitely many identical terms in a sequence, then the sequence {an} is convergent. C. If infinitely many terms in a sequence are different, then the sequence must diverge. D. If a sequence is convergent, then there are infinitely many terms in any small neighborhood of the limit. OA B OC D For sequence {n} with an for all n such that n > N. A. True B. False A B sin n , there is some integer N such that n+1 <0.0001 TI
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