(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
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Question
(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!.
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 n=0an be an infinite series,  then 

  • If limn|an|1/n<1 , then series is convergent. 
  • If limn|an|1/n>1 , then series is divergent. 
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