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Question 3 an+1 n→∞ an Suppose an> 0 for n≥1 and lim <1 What can you conclude regarding Σ1 an? n=1 o The series converges The series may or may not converge o The series diverges

Question 3 an+1 n→∞ an Suppose an> 0 for n≥1 and lim <1 What can you conclude regarding Σ1 an? n=1 o The series converges The series may or may not converge o The series diverges

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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**Question 3** Suppose \( a_n > 0 \) for \( n \geq 1 \) and \( \lim_{n \to \infty} \frac{a_{n+1}}{a_n} < 1 \). What can you conclude regarding \( \sum_{n=1}^{\infty} a_n \)? - ○ The series converges - ○ The series may or may not converge - ○ The series diverges
Transcribed Image Text:**Question 3** Suppose \( a_n > 0 \) for \( n \geq 1 \) and \( \lim_{n \to \infty} \frac{a_{n+1}}{a_n} < 1 \). What can you conclude regarding \( \sum_{n=1}^{\infty} a_n \)? - ○ The series converges - ○ The series may or may not converge - ○ The series diverges
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