Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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2. For each of the following **SEQUENCES**, determine whether it converges or diverges. If it converges, find the limit. **(GIVE REASONS FOR YOUR ANSWERS.** Note that the "Tests for Convergence" are for series, **NOT** for these problems.) a. \( a_n = 1 + (0.8)^n \) b. \( a_n = \frac{n}{\ln n} \, (n = 2, 3, 4, \ldots) \)
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Transcribed Image Text:2. For each of the following **SEQUENCES**, determine whether it converges or diverges. If it converges, find the limit. **(GIVE REASONS FOR YOUR ANSWERS.** Note that the "Tests for Convergence" are for series, **NOT** for these problems.) a. \( a_n = 1 + (0.8)^n \) b. \( a_n = \frac{n}{\ln n} \, (n = 2, 3, 4, \ldots) \)
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