Let ∑ n = 1 ∞ a n {\displaystyle {}\sum _{n=1}^{\infty }a_{n}} be a convergent series with a n ∈ [ 0 , 1 ] {\displaystyle {}a_{n}\in [0,1]} for all n ∈ N {\displaystyle {}n\in \mathbb {N} } and let f : [ 0 , 1 ] → R {\displaystyle {}f\colon [0,1]\rightarrow \mathbb {R} }
![{\displaystyle {}a_{n}\in [0,1]}](https://wikimedia.org/api/rest_v1/media/math/render/svg/391a3361fa0e52b9c0b5d2de8e23089659b54507)
![{\displaystyle {}f\colon [0,1]\rightarrow \mathbb {R} }](https://wikimedia.org/api/rest_v1/media/math/render/svg/84fb21f4eeb128c184de5e476ed219e3966701ea)
