In problems 2 and 3 find the radius of convergence and interval of convergence for the given power series. 2. Problem 5.1.1.1: 2n=1
In problems 2 and 3 find the radius of convergence and interval of convergence for the given power series. 2. Problem 5.1.1.1: 2n=1
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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![**Educational Exercise: Finding the Radius and Interval of Convergence**
In problems 2 and 3, find the radius of convergence and interval of convergence for the given power series.
2. **Problem 5.1.1.1:**
\[\sum_{n=1}^{\infty} \frac{2^n}{n} x^n\]
3. **Problem 5.1.1.4:**
\[\sum_{k=0}^{\infty} k! (x - 1)^k\]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2140facb-0981-40cd-bf23-81e224855fc4%2F199fc030-721c-44fc-b789-2e7916869a1d%2F5eb70s_processed.png&w=3840&q=75)
Transcribed Image Text:**Educational Exercise: Finding the Radius and Interval of Convergence**
In problems 2 and 3, find the radius of convergence and interval of convergence for the given power series.
2. **Problem 5.1.1.1:**
\[\sum_{n=1}^{\infty} \frac{2^n}{n} x^n\]
3. **Problem 5.1.1.4:**
\[\sum_{k=0}^{\infty} k! (x - 1)^k\]
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