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Consider the following series: E(-3)"(n + 6)(x - 4)" n=0 Find the radius of convergence R. R = (Enter "infinity" if the radius is infinite.) Find the interval of convergence. The series converges if x is in (Enter your answer using interval notation.) Where does the series converge absolutely? The series converges absolutely if x is in (Enter your answer using interval notation.)

Consider the following series: E(-3)"(n + 6)(x - 4)" n=0 Find the radius of convergence R. R = (Enter "infinity" if the radius is infinite.) Find the interval of convergence. The series converges if x is in (Enter your answer using interval notation.) Where does the series converge absolutely? The series converges absolutely if x is in (Enter your answer using interval notation.)

Advanced Engineering Mathematics
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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Consider the following series: 00 E(-3)"(n + 6)(x – 4)" n=0 Find the radius of convergence R. R = (Enter "infinity" if the radius is infinite.) Find the interval of convergence. The series converges if x is in (Enter your answer using interval notation.) Where does the series converge absolutely? The series converges absolutely if x is in (Enter your answer using interval notation.) Where does the series converge conditionally? The series converges conditionally if x is in (Enter your answer using interval notation.) ...
Transcribed Image Text:Consider the following series: 00 E(-3)"(n + 6)(x – 4)" n=0 Find the radius of convergence R. R = (Enter "infinity" if the radius is infinite.) Find the interval of convergence. The series converges if x is in (Enter your answer using interval notation.) Where does the series converge absolutely? The series converges absolutely if x is in (Enter your answer using interval notation.) Where does the series converge conditionally? The series converges conditionally if x is in (Enter your answer using interval notation.) ...
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