Prove that if is derivable in then is continuous in .
I started with the definition.
Using Cauchys integral formula.
Now comparing the result with Cauchy's Integral formula, first order.
What happens with the right side if ?
I'm sort of in the dark here... I thought maybe I proved something by showing how Cauchy's and the definition of derivation dance so nicely together.
Help or any pointers would be appreciated!