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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4
![Find a power series for the function, centered at \( c \).
\[ h(x) = \frac{1}{1 - 8x} \quad , \quad c = 0 \]
\[ h(x) = \sum_{n=0}^{\infty} \]
Determine the interval of convergence. (Enter your answer using interval notation.)
[Text box for input]
[Optional section to show work]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe35298e5-10ed-452c-b18c-35d9ef29ce25%2Fe3fddf9f-9d27-45fd-b2ab-a39e92f97dbd%2Fq21o8jc_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Find a power series for the function, centered at \( c \).
\[ h(x) = \frac{1}{1 - 8x} \quad , \quad c = 0 \]
\[ h(x) = \sum_{n=0}^{\infty} \]
Determine the interval of convergence. (Enter your answer using interval notation.)
[Text box for input]
[Optional section to show work]
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