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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≤9, but divergent for all z with Im Z >4 c) centered 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≤9, but divergent for all z with Im Z >4 c) centered at Zo=0 and convergent for all z with Rez=8, but divergent for all other ZEC.

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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Questions 4a and 4c handwritten please
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 Im764, but divergent for all z with Im Z >4. c) centered at Zo=0 and convergent for all & with Rez = 8, but divergent for all other ZEC.
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 Im764, but divergent for all z with Im Z >4. c) centered at Zo=0 and convergent for all & with Rez = 8, but divergent for all other ZEC.
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