a 'n+1 If the power series 2a (x- d)" is such that lim n=1 a L 00 - Which one of the statements following is TRUỆ? L А. The radius of convergence is – B. None of the choices on the list. C. The series converges for all x ER. D. The series converges only at x=d. Е. The radius of convergence is L

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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a
n+1
If the power series La (x-d)" is such that lim
n=1
a
n- 00
L
Which one of the statements following is TRUE?
L
The radius of convergence is
2
A.
B. None of the choices on the list.
C. The series converges for all xER.
D. The series converges only at x=d.
2
The radius of convergence is
L
E.
Transcribed Image Text:a n+1 If the power series La (x-d)" is such that lim n=1 a n- 00 L Which one of the statements following is TRUE? L The radius of convergence is 2 A. B. None of the choices on the list. C. The series converges for all xER. D. The series converges only at x=d. 2 The radius of convergence is L E.
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