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2. Prove that the sequence {n} defined by xn := (-1)n 3n+2 is divergent. Use an argument similar to Example 2.1.5 in the textbook, do not use the divergence criterion using subsequences. You may assume without proof that limn→∞ 3n+2 3. n→∞ n+1 =

2. Prove that the sequence {n} defined by xn := (-1)n 3n+2 is divergent. Use an argument similar to Example 2.1.5 in the textbook, do not use the divergence criterion using subsequences. You may assume without proof that limn→∞ 3n+2 3. n→∞ 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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2. Prove that the sequence {n} defined by xn := (-1) 3n+2 is divergent. Use an argument similar to Example 2.1.5 in the textbook, do not use the divergence criterion using subsequences. You may assume without proof that limn→∞ 1 3n+2 = 3.
Transcribed Image Text:2. Prove that the sequence {n} defined by xn := (-1) 3n+2 is divergent. Use an argument similar to Example 2.1.5 in the textbook, do not use the divergence criterion using subsequences. You may assume without proof that limn→∞ 1 3n+2 = 3.
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