Mrutyunjaya M.

asked • 08/30/15

complex analysis

The radius of convergence the series  
  
  ∑  z2n / z  is
 n=1
 
a) 1          b) √2
 
c) √3         c) √5
 
ans is √2 ,but i cant understand how does it happen,  please help me please, i m totally confused, please explain me in details, please sir please

Mrutyunjaya M.

Sir,  i appreciate ur ans but sir in answer sheet, its ans is 'b',  it also expain it answer,  but i couldn't understand....  He took
un ={  0 if n = 2k-1
            1/2^n if n =2k 
But how sir please tell me
Report

08/30/15

Eugene E.

tutor
Hi, it looks there is a typo in the question -- the z appearing in the denominator of the expression z2n/zn should be 2.
Report

08/30/15

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