12) Given a power series E anx", if lim da+1= L where 0 < L < o, then the radius an n=0 1 of convergence is L' a) True b) False

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Question
12) Given a power series anx", if lim
An+1 = L where 0 < L < ∞, then the radius
an
n=0
n00
1
of convergence is
-
L'
a) True
b) False
Transcribed Image Text:12) Given a power series anx", if lim An+1 = L where 0 < L < ∞, then the radius an n=0 n00 1 of convergence is - L' a) True b) False
an+1
13) Given a power series anx", if lim
= 0, then the power series converges
an
n=0
for all x E R.
a) True
b) False
Transcribed Image Text:an+1 13) Given a power series anx", if lim = 0, then the power series converges an n=0 for all x E R. a) True b) False
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