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Question: limit

Question:limit

kagu 60
student
January 27 2010
0

 

Hello,

I want to calculate the limit of the function f1 at the point z1=-I , but  I can't , it is of the form 0/0 but by hopital we can calculate it

can you help me to do this, because it is important for my procedure to construct a continued fraction

Thanks

z1:=-I:
f := z -> (-1./z)*ln(1.-z):
 
f1:= (f(z1)-f(z))/(f(z)*(z-z1));
/ 1. ln(1. - z)\
1. |(0.7853981634 - 0.3465735903 I) + -------------| z
\ z /
- ------------------------------------------------------
ln(1. - z) (z + I)
A:=limit(f1, z = z1);
NULL;
Float(undefined)
 
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