(2). Find the Disc of convergence for the following: (8). - ((4+2)(2-3) )". (h). E(²(2-2)". 3n (g). En o5(2-2+i)³n+¹.
(2). Find the Disc of convergence for the following: (8). - ((4+2)(2-3) )". (h). E(²(2-2)". 3n (g). En o5(2-2+i)³n+¹.
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

Transcribed Image Text:(2). Find the Disc of convergence for the following:
(g). Σo (4+i)(2-3))".
(h). Σo (n) (z – 2)".
Σn=o4ntz
(g). Enoim#2(z – 2 + i)3n+1.
5-2
-
5"
(i). Enzoni (z + 5i).
Σ
en=0
(z+1)n
(j). Σn=o (n+3)(2+i) •
(k). Σo2-In|zn.
(1). Σno(z - 1)n!.
Expert Solution

Step 1: Cauchy root test
Let
- If
, then series is convergent. - If
, then series is divergent.
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