Which ONE of the following statements is CORRECT with regards to the sequences of real numbers? ∞0. A. If the sequence {a} diverges, then lim a = ∞ or lim a₁ = - n 11-00 1148 B. If {a} is a monotone sequence with lim a=x, then x is either an infimum or a supremum of sequence {a}. 1118 C. If the sequence is monotone and bounded above, then it converges.
Which ONE of the following statements is CORRECT with regards to the sequences of real numbers? ∞0. A. If the sequence {a} diverges, then lim a = ∞ or lim a₁ = - n 11-00 1148 B. If {a} is a monotone sequence with lim a=x, then x is either an infimum or a supremum of sequence {a}. 1118 C. If the sequence is monotone and bounded above, then it 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
![Which ONE of the following statements is CORRECT with regards to the sequences
of real numbers?
∞0.
A. If the sequence {a} diverges, then lim a = ∞ or lim a₁ = -
n
11-00
1148
B. If {a}
is a monotone sequence with lim a=x, then x is
either an infimum or a supremum of sequence {a}.
1118
C. If the sequence is monotone and bounded above, then it converges.
D. If r<1, then lim r"= 0.
n-∞
E. None of the choices in this list.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F45e373be-e798-432d-b765-67c0741e74af%2F727a755b-0185-4065-a655-9a12f52a9d86%2Fep9797_processed.png&w=3840&q=75)
Transcribed Image Text:Which ONE of the following statements is CORRECT with regards to the sequences
of real numbers?
∞0.
A. If the sequence {a} diverges, then lim a = ∞ or lim a₁ = -
n
11-00
1148
B. If {a}
is a monotone sequence with lim a=x, then x is
either an infimum or a supremum of sequence {a}.
1118
C. If the sequence is monotone and bounded above, then it converges.
D. If r<1, then lim r"= 0.
n-∞
E. None of the choices in this list.
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