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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
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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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
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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