Bolzano function
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A Bolzano function $B \colon [a,b] \rightarrow [c,d]$ is is defined as the limit of a sequence $\{B_k\}$ of continuous functions. Let $B_1 \colon [a,b] \rightarrow [c,d]$ be defined by the formula $$B_1(x)=c + \dfrac{d-c}{b-a}(x-a),$$ and
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Bolzano's Continuous but Nowhere Differentiable Function by Wolfram
