1) Find the power series of about 4i (z-4i)" a) En=0(3-41)+1 (z-4i)" b) ₁-0 (3-41) c) Σ (z-4i) Σn=0 (3+4i)*1 (z-4i)" d) {n-1 (3-41)¹* e) NOTA

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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Question
1
1) Find the power series of
3-Z
(z-4i)"
a) Σ
Σn=0(3-41)+1
(z-4i)"
00
b) ₁-0 (3-41)
(z-4i)
c) Σn=0 (3+41)
d) {n-1 (3-4i)*
(z-4i)"
e) NOTA
i+z
2) Find where tan'z = Log
Log is analytic
a) C\{Re(z)=0, Im(z) (-00,1]}
b) C\{Re(z)=0, Im(z) (-00,1] U (1,00)}
c) C\{Re(z)=0, Im(z) (-0,1))
d) C\{Re(z)=0, Im(z) (-∞0,2]}
e) NOTA
about 4i
Transcribed Image Text:1 1) Find the power series of 3-Z (z-4i)" a) Σ Σn=0(3-41)+1 (z-4i)" 00 b) ₁-0 (3-41) (z-4i) c) Σn=0 (3+41) d) {n-1 (3-4i)* (z-4i)" e) NOTA i+z 2) Find where tan'z = Log Log is analytic a) C\{Re(z)=0, Im(z) (-00,1]} b) C\{Re(z)=0, Im(z) (-00,1] U (1,00)} c) C\{Re(z)=0, Im(z) (-0,1)) d) C\{Re(z)=0, Im(z) (-∞0,2]} e) NOTA about 4i
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