How to construct a rational number sequence for any irrational

Cierra Castillo

Cierra Castillo

Answered question

2022-07-04

How to construct a rational number sequence for any irrational number

Answer & Explanation

Monserrat Cole

Monserrat Cole

Beginner2022-07-05Added 12 answers

Take any diverging integer sequence m n and build
p n = x m n m n .
The "error" is bounded by 1 m n .
Nickolas Taylor

Nickolas Taylor

Beginner2022-07-06Added 3 answers

This is one way to do it:
a n = 10 n x 10 n
because:
10 n x 1 10 n x 10 n x x 1 10 n a n x x lim n a n x
so a n x

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