How to prove that a 0.1234567891011121314... is irrational?

jistefaftexia99kq6

jistefaftexia99kq6

Answered question

2022-05-12

How to prove that a 0.1234567891011121314... is irrational?

Answer & Explanation

necrologo9yh43

necrologo9yh43

Beginner2022-05-13Added 23 answers

The decimal expansion we were given is not ultimately periodic, for it has arbitrarily long sequences of 5's (or any other digit).
But any rational number has ultimately periodic decimal expansion.

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