Is it irrational?

Number Theory Level 4

1 0 − 1 ! + 1 0 − 2 ! + 1 0 − 3 ! + ⋯ 10^{-1!} + 10^{-2!} + 10^{-3!} + \cdots is a/an:

algebraic number rational number transcendental number Both algebraic and rational number nobody knows

Hamza A by Hamza A , 19, USA

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1 solution

Abhishek Sinha
Jan 31, 2016

The number is called Liouville's Constant which is known to be a transcendental number.

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https://en.wikipedia.org/wiki/Liouville_number

this page provides a proof of it,the proof is simple and short

Hamza A - 5 years, 4 months ago

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