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Which of the following statements is (are) true? If an has a finite sum, then lim an = 0. 818 n=1 ∞ ∞ ○ If an and bon are positive for n ≥ 1, an converges, and an ≤ bn, then Σ b, converges. n=1 n=1 -1 The series Σ converges. n ∞ If lim n4x 0, then an is a convergent series. n=1 n=1 an =

Which of the following statements is (are) true? If an has a finite sum, then lim an = 0. 818 n=1 ∞ ∞ ○ If an and bon are positive for n ≥ 1, an converges, and an ≤ bn, then Σ b, converges. n=1 n=1 -1 The series Σ converges. n ∞ If lim n4x 0, then an is a convergent series. n=1 n=1 an =

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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Which of the following statements is (are) true? ∞ Olf an has a finite sum, then lim an = 0. n18 n=1 ∞ ∞ ○ If an and bn are positive for n ≥ 1, Σ an converges, and an ≤ b, then bn converges. n=1 n=1 1 O The series converges. n n =] ∞ If lim an = : 0, then Σ an is a convergent series. n=1 n1x
Transcribed Image Text:Which of the following statements is (are) true? ∞ Olf an has a finite sum, then lim an = 0. n18 n=1 ∞ ∞ ○ If an and bn are positive for n ≥ 1, Σ an converges, and an ≤ b, then bn converges. n=1 n=1 1 O The series converges. n n =] ∞ If lim an = : 0, then Σ an is a convergent series. n=1 n1x
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