- 144

- 0

I'm solving the problems given in previous exams, and there's this question:

**1. Homework Statement**

a/ Give the value of ln(i), ln(-i) and i^i

b/ If zo=-1-i , what is the value of

lim [ ln(zo+e)-ln(zo+i*e) ] when e-> 0

Same question with zo=1+i

**2. Homework Equations**

**3. The Attempt at a Solution**

a. ln(i)=ln|i|+i*arg(i)=i*pi/2

ln(-i)=-i*pi/2

i^i=exp(-pi/2)

b. I found that when zo=-1-i and zo=1+i the limit is 0, I don't know if I'm missing something, this question is so easy that it seems suspect

Thanks !