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
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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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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.
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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