Suppose $U \subset \C$ is a domain and $f \colon U \to \C$. Prove that if the following limit exists \begin{equation*} g(z) = \lim_{h \to 0} \frac{f(z+h)-f(z)}{\bar{h}} \end{equation*} for all $z \in U$ (note the bar on the $h$), then $f$ is real differentiable, and satisfies

question: how many people can she serve?

answer: she can serve 16.66666667 people. so she can only give 16 people a complete serving.

question: does she have enough ice cream for her guests?

answer: no. explanation: she only has enough for 16 people to have a full serving. however, she can give a 17th person a partial serving.

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the awnser is visionary