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In = 5n+3 2n+1

In = 5n+3 2n+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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Problem 1. For the following sequences determine for four (4) of them whether the given sequence has a limit, and if it does, prove formally that your stated value is actually the limit by definition or limits theorems, squeeze theorem, ratio test, or any other theorem about the convergence of sequences. Alternatively, you can use the Cauchy criterium. If the sequence is properly divergent prove it formally too. i) In = 5n+3 2n+1 ii) In = √9n² + n-3n. iii) x₂ = n. In
Transcribed Image Text:Problem 1. For the following sequences determine for four (4) of them whether the given sequence has a limit, and if it does, prove formally that your stated value is actually the limit by definition or limits theorems, squeeze theorem, ratio test, or any other theorem about the convergence of sequences. Alternatively, you can use the Cauchy criterium. If the sequence is properly divergent prove it formally too. i) In = 5n+3 2n+1 ii) In = √9n² + n-3n. iii) x₂ = n. In
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