Is there a 'far' irrational number?

rmd1228887e

rmd1228887e

Answered

2022-07-15

Is there a 'far' irrational number?

Answer & Explanation

Alexia Hart

Alexia Hart

Expert

2022-07-16Added 19 answers

Consider x = j = 1 a j / 4 j where each a j is either 1 or 2. Thus the binary expansion of x consists of two-digit blocks which are either 10 or 01. Then x is far. But there are uncountably many choices, so all but countably many of them are irrational.

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get your answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?