6. Consider the series [ª a and ¹b. where a > 0 and b² > 0 for n ≥ 1. If [ª converges, which of the n=1 n=1 n=1 following must be true? (A) If a ≤ b, then Σb converges. n=1 (B) If a ≤ b. then Σb diverges. b₁ n=1 DO (C) If b ≤ a, then Σb, converges. (D) If b ≤ a, then Σb diverges. #=1 00 (E) If b ≤ a,. then the behavior of b, cannot be determined from the information given. n=1
6. Consider the series [ª a and ¹b. where a > 0 and b² > 0 for n ≥ 1. If [ª converges, which of the n=1 n=1 n=1 following must be true? (A) If a ≤ b, then Σb converges. n=1 (B) If a ≤ b. then Σb diverges. b₁ n=1 DO (C) If b ≤ a, then Σb, converges. (D) If b ≤ a, then Σb diverges. #=1 00 (E) If b ≤ a,. then the behavior of b, cannot be determined from the information given. n=1
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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How is this problem solved?
![¹b. where a > 0 and b² > 0 for n ≥ 1. If [ª converges, which of the
n=1
6. Consider the series a and
n=1
following must be true?
(A) If a ≤ b, then Σb converges.
n=1
(B) If a ≤ b. then Σb diverges.
b₁
DO
(C) If b ≤ a, then Σb converges.
(D) If b ≤ a, then Σb diverges.
n=1
(E) If b ≤ a, then the behavior of b, cannot be determined from the information given.
n=1](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F92f03ec7-f9eb-4661-8f6b-2c8e03fdf6a3%2F5dd6ef98-512d-4398-916b-f909c6af3701%2Fb8kj5fd_processed.jpeg&w=3840&q=75)
Transcribed Image Text:¹b. where a > 0 and b² > 0 for n ≥ 1. If [ª converges, which of the
n=1
6. Consider the series a and
n=1
following must be true?
(A) If a ≤ b, then Σb converges.
n=1
(B) If a ≤ b. then Σb diverges.
b₁
DO
(C) If b ≤ a, then Σb converges.
(D) If b ≤ a, then Σb diverges.
n=1
(E) If b ≤ a, then the behavior of b, cannot be determined from the information given.
n=1
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