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HACR
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Homework Statement
Find the taylor series of Log(z) around z=-1+i.
Homework Equations
The Attempt at a Solution
So I have for the first few terms as
[tex]
\frac{1}{2}*log(2)+\frac{3\pi i}{4}+\frac{z+1-i}{-1+i}-\frac{2(z+1-i)^{2}}{(-1+i)^{2}}+\frac{3(z+1-i)^{3}}{(-1+i)^{3}}-
[/tex]
But the correct series seems to be
[tex]
\frac{1}{2}log(2)+\frac{3\pi i}{4}-\Sigma (\frac {-1+i}{2})^{n}*({z+1-i})^{n}
[/tex]
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