Find the interval of convergence of the power series. (Be sure to include a check for convergence at the endpoints of the interval. If the interval of convergence is an interval, enter your answer using interval notation. If the interval of convergence is a finite set, enter your answer using set notation.) n=0 (-1) x6n +5 6n + 5
Find the interval of convergence of the power series. (Be sure to include a check for convergence at the endpoints of the interval. If the interval of convergence is an interval, enter your answer using interval notation. If the interval of convergence is a finite set, enter your answer using set notation.) n=0 (-1) x6n +5 6n + 5
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 interval of convergence of the power series. (Be sure to include a check for convergence at the endpoints of the interval. If the interval of convergence is an interval, enter your answer using interval notation. If the interval of convergence is a finite set, enter your answer using set notation.)
\[
\sum_{n=0}^{\infty} \frac{(-1)^n \, x^{6n + 5}}{6n + 5}
\]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8530ca5f-6e8e-4cce-aaa4-95b39b1a4e45%2F23ecbc90-a592-4102-83ea-8b40e7cf101c%2Fa2s3zf_processed.png&w=3840&q=75)
Transcribed Image Text:Find the interval of convergence of the power series. (Be sure to include a check for convergence at the endpoints of the interval. If the interval of convergence is an interval, enter your answer using interval notation. If the interval of convergence is a finite set, enter your answer using set notation.)
\[
\sum_{n=0}^{\infty} \frac{(-1)^n \, x^{6n + 5}}{6n + 5}
\]
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