Which ONE of the following statements is CORRECT with regards to the sequences of real numbers? OA. If the sequence {a} diverges, then lim a = ∞ or lim a₁ = - 00. n n→ ∞o 11 → 00 OB. If {a}is } is a monotone sequence with lim a=x, then x is either an infimum or a supremum of sequence {a}. n 1100 OC. If the sequence is monotone and bounded above, then it converges. OD. If r<1, then lim r"= 0. noo O E. None of the choices in this list.
Which ONE of the following statements is CORRECT with regards to the sequences of real numbers? OA. If the sequence {a} diverges, then lim a = ∞ or lim a₁ = - 00. n n→ ∞o 11 → 00 OB. If {a}is } is a monotone sequence with lim a=x, then x is either an infimum or a supremum of sequence {a}. n 1100 OC. If the sequence is monotone and bounded above, then it converges. OD. If r<1, then lim r"= 0. noo O E. None of the choices in this list.
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Question
![Which ONE of the following statements is CORRECT with regards to the sequences
of real numbers?
OA. If the sequence {a} diverges, then lim a₁ = ∞ or
lim a
∞
n
11 → ∞0
11-00
O B. If {a} is a monotone sequence with lim a=x, then
is either an infimum or a supremum of sequence
11-00
OC. If the sequence is monotone and bounded above, then it converges.
OD. If r<1, then lim r" = 0.
1140
O E. None of the choices in this list.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffc0f7cc9-058c-4420-b4c2-0bfb103b906f%2F4005abe7-d95c-45ca-9cf2-f7c1465d1116%2Fwe33a88_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?
OA. If the sequence {a} diverges, then lim a₁ = ∞ or
lim a
∞
n
11 → ∞0
11-00
O B. If {a} is a monotone sequence with lim a=x, then
is either an infimum or a supremum of sequence
11-00
OC. If the sequence is monotone and bounded above, then it converges.
OD. If r<1, then lim r" = 0.
1140
O E. None of the choices in this list.
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