Faber F2

The Faber function $F_2$ is defined by $$F_2(x)=\displaystyle\sum_{k=1}^{\infty} \dfrac{1}{k!} \displaystyle\inf_{m \in \mathbb{Z}} \left|2^{k!}x-m \right|.$$

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  Graph of $F_2$.

Properties

Faber F2 is continuous
Faber F2 is nowhere differentiable

See Also

Faber F1

References

[1]