4) Give an properties: example, if possible, of power series with the following (a)) centered at Zo=3i, with radius of convergence R = 7 (b) centered at Zo=1 and convergent for all z with Imz≤4, but divergent for all z with Im Z >4 centered at Zo=0 and convergent for all z with Rez = 8, but divergent for all other ZEC.
4) Give an properties: example, if possible, of power series with the following (a)) centered at Zo=3i, with radius of convergence R = 7 (b) centered at Zo=1 and convergent for all z with Imz≤4, but divergent for all z with Im Z >4 centered at Zo=0 and convergent for all z with Rez = 8, but divergent for all other ZEC.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.3: Geometric Sequences
Problem 49E
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I need help with the circled question please, written answer please, not typed.
Transcribed Image Text:4) Give an
properties:
example, if possible, of power series with the following
(a)) centered at Zo=3i, with radius of convergence R = 7
(b) centered at Zo=1 and convergent for all z with Imz≤4, but
divergent for all z with Im Z >4
centered at Zo=0 and convergent for all z with Rez = 8, but
divergent for all other ZEC.
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