# The power of Hölder Continuity

Algebra Level 4

Let $$f : \mathbb{R} \to \mathbb{R}$$ and $$f(1) = 2016$$ and $$|f(x) - f(y)| \le (x-y)^{2016}, \forall x,y \in \mathbb{R}$$

For the answer: Type in $$f(2)$$

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