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Suppose f:C→Cf: \mathbb{C} \to \mathbb{C}f:C→C is holomorphic. Furthermore, assume that
∣f(z)∣≤5∣z∣|f(z)| \le 5|z|∣f(z)∣≤5∣z∣
for all z∈Cz\in \mathbb{C}z∈C. If f(1)=3+4if(1) = 3+4if(1)=3+4i, what is f(1+i)?f(1+i)?f(1+i)?
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