Find the radius of convergence, R, of the series. (-1)"x" n- 1 R = 1 Find the interval, I, of convergence of the series. (Enter your answer using interval notation.) I = |
Find the radius of convergence, R, of the series. (-1)"x" n- 1 R = 1 Find the interval, I, of convergence of the series. (Enter your answer using interval notation.) I = |
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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![**Find the radius of convergence, \( R \), of the series.**
\[
\sum_{n=1}^{\infty} \frac{(-1)^n x^n}{n^4}
\]
\[
R = 1 \; \text{✔}
\]
**Find the interval, \( I \), of convergence of the series. (Enter your answer using interval notation.)**
\[
I = \]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb192230a-9a5f-4cd4-8831-be6be5650fda%2F885e71a2-0ed8-45b8-b102-35cafcbee3db%2F3dtvou3_processed.png&w=3840&q=75)
Transcribed Image Text:**Find the radius of convergence, \( R \), of the series.**
\[
\sum_{n=1}^{\infty} \frac{(-1)^n x^n}{n^4}
\]
\[
R = 1 \; \text{✔}
\]
**Find the interval, \( I \), of convergence of the series. (Enter your answer using interval notation.)**
\[
I = \]
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