1.) Let a = 3, find the interval of convergence of the series given below. Be sure to mention which tests for convergence you are using, check the conditions for those tests, and check the endpoints of the interval. (x – 2)na Σ 2" (In n)a
1.) Let a = 3, find the interval of convergence of the series given below. Be sure to mention which tests for convergence you are using, check the conditions for those tests, and check the endpoints of the interval. (x – 2)na Σ 2" (In n)a
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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![1.) Let \( \alpha = 3 \), find the interval of convergence of the series given below. Be sure to mention which tests for convergence you are using, check the conditions for those tests, and check the endpoints of the interval.
\[
\sum_{n=2}^{\infty} \frac{(x-2)^{n\alpha}}{2^n (\ln n)^\alpha}
\]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7f88d8b4-ac68-457e-9d02-d311a9616c7b%2Fc0a8bbdf-e0af-44f4-a60a-51b6394b8091%2F0tk2sft_processed.png&w=3840&q=75)
Transcribed Image Text:1.) Let \( \alpha = 3 \), find the interval of convergence of the series given below. Be sure to mention which tests for convergence you are using, check the conditions for those tests, and check the endpoints of the interval.
\[
\sum_{n=2}^{\infty} \frac{(x-2)^{n\alpha}}{2^n (\ln n)^\alpha}
\]
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