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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, = 1 + (0.8)" а.

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, = 1 + (0.8)" а.

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. 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. \( a_n = \frac{n}{\ln n} \, (n = 2, 3, 4, \ldots) \)
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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