In other words, for an irrational number x=sum_(n=0) a_n 10^n Does a_n takes all the numbers between 0 and 9 ?

Madison Costa

Madison Costa

Answered question

2022-11-05

In other words, for an irrational number
x = n Z a n 10 n
Does a n takes all the numbers between 0 and 9 ?

Answer & Explanation

Kennedy Evans

Kennedy Evans

Beginner2022-11-06Added 16 answers

Certainly not, since rational numbers are exactly the ones with an eventually periodic expansion. So for example, the number 0.01001100011100001111 is irrational.

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