A function satifying $|f(x)-f(y)|\leq |x-y|^2$ must be constanct.
Let $f: \mathbb{R} \rightarrow \mathbb{R}$ satisfy $$|f(x)-f(y)|\leq |x-y|^2, \forall x,y\in \mathbb{R}.$$
Prove that $f$ is constanct.
Brandon 1212
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Erdos
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