Mrutyunjaya M.

asked • 08/30/15

complex analysis

The radius of convergence the series  
  ∑  z2n / z  is
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


Eugene E.

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


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