2) a) Find the series' radius and interval of convergence. Then identify the values of x for which the series converges b) absolutely and c) conditionally ΣΕ n=1 (-1)-¹(3x-1)" n²
2) a) Find the series' radius and interval of convergence. Then identify the values of x for which the series converges b) absolutely and c) conditionally ΣΕ n=1 (-1)-¹(3x-1)" n²
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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quick and explain step by step pls.
![**Problem 2**
**a)** Find the series' radius and interval of convergence. Then identify the values of \( x \) for which the series converges:
**b)** absolutely and
**c)** conditionally
\[
\sum_{n=1}^{\infty} \frac{(-1)^{n-1}(3x-1)^n}{n^2}
\]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8d2af6b8-35d3-4327-94c1-a05ff77beaf0%2Fae6b8ade-2d6b-4676-8851-ceb06cc8fd88%2F4y1sve_processed.png&w=3840&q=75)
Transcribed Image Text:**Problem 2**
**a)** Find the series' radius and interval of convergence. Then identify the values of \( x \) for which the series converges:
**b)** absolutely and
**c)** conditionally
\[
\sum_{n=1}^{\infty} \frac{(-1)^{n-1}(3x-1)^n}{n^2}
\]
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