Find the radius of convergence, R, of the series. R = 00 I = W n = 1 7n n! Find the interval, I, of convergence of the series. (Enter your answer using interval notation.)
Find the radius of convergence, R, of the series. R = 00 I = W n = 1 7n n! Find the interval, I, of convergence of the series. (Enter your answer using interval notation.)
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.**
\[
\sum_{n=1}^{\infty} \frac{x^{7n}}{n!}
\]
\( R = \) [Box for input]
**Find the interval, \( I \), of convergence of the series. (Enter your answer using interval notation.)**
\( I = \) [Box for input]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff42c59a5-908c-4bcd-9e36-90d243a82d72%2Fd405c0ca-a748-4f7a-aa9f-d04c58296e16%2Febkz6q_processed.png&w=3840&q=75)
Transcribed Image Text:**Find the radius of convergence, \( R \), of the series.**
\[
\sum_{n=1}^{\infty} \frac{x^{7n}}{n!}
\]
\( R = \) [Box for input]
**Find the interval, \( I \), of convergence of the series. (Enter your answer using interval notation.)**
\( I = \) [Box for input]
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