1. Find the Radius of Convergence (R.O.C.) and the Interval of Convergence (I.O.C.) for the following power series: n E (* + 1)" (3x – 2)" а. d. E n=1 n3n n=1 b. E(-1)" (x – 3)" 2n +1 е. n/n 3" n=1 n=1 00 (4x + 1)" Σ с. n2 f. En!(2x – 1)" n=1 n=1
1. Find the Radius of Convergence (R.O.C.) and the Interval of Convergence (I.O.C.) for the following power series: n E (* + 1)" (3x – 2)" а. d. E n=1 n3n n=1 b. E(-1)" (x – 3)" 2n +1 е. n/n 3" n=1 n=1 00 (4x + 1)" Σ с. n2 f. En!(2x – 1)" n=1 n=1
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,c, d,f please i need so much help

Transcribed Image Text:1. Find the Radius of Convergence (R.O.C.) and the Interval of Convergence (I.O.C.) for the following power
series:
(3x – 2)"
n
(x + 1)"
d.
а.
n3n
n=
n=1
b. E(-1)" (* – 3)"
2n + 1
е.
n/n3"
n=1
(4х + 1)"
с.
n2
n=
n=1
IM: IM:
IM: IM: iM8
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