How can define irrational numbers in general

Messiah Sutton
2022-11-21
Answered

How can define irrational numbers in general

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Arely Davila

Answered 2022-11-22
Author has **17** answers

The Liouville numbers

$\sum _{k=1}^{\mathrm{\infty}}\frac{{a}_{k}}{{2}^{k!}}$

where $\{{a}_{k}\}$ is any non-eventually vanishing binary sequence, already provides you with an uncountable number of irrational numbers.

$\sum _{k=1}^{\mathrm{\infty}}\frac{{a}_{k}}{{2}^{k!}}$

where $\{{a}_{k}\}$ is any non-eventually vanishing binary sequence, already provides you with an uncountable number of irrational numbers.

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