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Let do = 1, a1 = -1, a; = (-1)" for 2"

Let do = 1, a1 = -1, a; = (-1)" for 2"

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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Let ao = 1, a1 = -1, aj = (-1)" for 2" <j< 2"+1 and n e N. n2" Show that if 2 = 1 and z #1 then ΙΣ α< 1 for 2" <j< 2"+1. n2"|1 – 2| k=2n Show that -o an2" converges conditionally, for all z with |2| = 1.
Transcribed Image Text:Let ao = 1, a1 = -1, aj = (-1)" for 2" <j< 2"+1 and n e N. n2" Show that if 2 = 1 and z #1 then ΙΣ α< 1 for 2" <j< 2"+1. n2"|1 – 2| k=2n Show that -o an2" converges conditionally, for all z with |2| = 1.
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