maclaurin series

Question

find maclaurin series of 1/z+3i

Answer 1

I left this question unanswered for a while, hoping that another tutor would be able to help, but no one has.

 

First of all, I think you mean f(z) = 1/(z + 3i).

 

I am not sure about this, but at least it will give you a start.

 

I think the power series expansion of f(z) = 1/(a + z) is as follows:

 

(1/a)[1 - (z/a) + (z/a)² - (z/a)³ +....(-1)ⁿ(z/a)ⁿ

 

I am NOT sure of this...you should do some studying to check this out for sure!!!!!!