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PieceOfPi
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Homework Statement
This question is in my exam review problem from my complex analysis class.
Compute f(100)(0)/100!, where f(z) = 1/(1+i-sqrt(2)z).
(f(100)(0) means the 100th derivative of f evaluated at 0.)
Homework Equations
Cauchy's integral formula might be helpful.
The answer to this question is -1/(1+i).
The Attempt at a Solution
I thought about using Cauchy's integral formula, but it seems like I need to rewrite f(z) so that I have singularity at 0... or maybe I'm completely missing out.
Thanks!