For questions involving Liouville numbers.
An irrational number $x$ is a Liouville number if for all $n \in \mathbb{N}$, there exist $p,q \in \mathbb{N}$ with $q>1$ such that $0<|x-\frac{p}{q}|<\frac{1}{q^n}$.
Questions tagged [liouville-numbers]
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A question on Liouville number
The definition of Liouville number $l$ is, for every positive integer $n$, there exist integers $p,q$, such that
$$\left\vert l-\frac{p}q\right\vert<\frac1{q^n}$$ is satisfied.
However, in an accepted and upvoted answer on MSE, it seems that one can…
Szeto
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