4) Give an example, if possible, of power series with the following properties: 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 ⑤centered at Zo=0 and convergent for all z with Rez = 8, but divergent for all other ZEC.

4) Give an example, if possible, of power series with the following properties: 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 ⑤centered 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

Section10.2: Arithmetic Sequences

Problem 68E

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