48. Let a, := (1+)", n 2 1 and b, := (1+)", n21. Which of the statements below is/are true about a, and b,? I: a, s ba ,Vn2 1 II: a, is monotonic increasing and b, is monotonic decreasing. III: lim,-o an = lim, . ba. А. I only B. I only C. I and II only D. I, II and III E. None of the above.
48. Let a, := (1+)", n 2 1 and b, := (1+)", n21. Which of the statements below is/are true about a, and b,? I: a, s ba ,Vn2 1 II: a, is monotonic increasing and b, is monotonic decreasing. III: lim,-o an = lim, . ba. А. I only B. I only C. I and II only D. I, II and III E. None of the above.
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
![48.
n+1
Let a, := (1+-)", n2 1 and b, := (1+-), n2 1. Which of the statements below
is/are true about an and b,?
I: a, s bn ,Vn 21
II: a, is monotonic increasing and b, is monotonic decreasing.
III: lim, -o an = lim, bn.
A. III only
B. I only
C. I and II only
D. I, II and III
E. None of the above.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff62b9515-d00c-48e4-8664-76fd4b31f39f%2Fe5d704a1-42f9-444d-8f70-7b62f001feb5%2Fu4totkm_processed.jpeg&w=3840&q=75)
Transcribed Image Text:48.
n+1
Let a, := (1+-)", n2 1 and b, := (1+-), n2 1. Which of the statements below
is/are true about an and b,?
I: a, s bn ,Vn 21
II: a, is monotonic increasing and b, is monotonic decreasing.
III: lim, -o an = lim, bn.
A. III only
B. I only
C. I and II only
D. I, II and III
E. None of the above.
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