Consider the following four series A =(2x)", B = E(2.r)", C= (-1)" (2x)", D = (-1)" (2.x)*" n n=1 n n=0 n=1 n=1 For each of these series give the centre of convergence, radius of convergence, and interval of convergence. No justification is needed. centre of convergence radius of convergence interval of convergence A В C D
Consider the following four series A =(2x)", B = E(2.r)", C= (-1)" (2x)", D = (-1)" (2.x)*" n n=1 n n=0 n=1 n=1 For each of these series give the centre of convergence, radius of convergence, and interval of convergence. No justification is needed. centre of convergence radius of convergence interval of convergence A В C D
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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Transcribed Image Text:Consider the following four series
00
E(2x)", B=
Σ
Σ
(-1)"
(2x)",
n
(-1)"
-(2x)2n
A =
C =
D =
n
n=1
n=0
n=1
n=1
For each of these series give the centre of convergence, radius of convergence, and interval of convergence.
No justification is needed.
centre of convergence
radius of convergence
interval of convergence
A
B
C
D
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