Find a sequence of rationals that converges to arbitrary irrational

boloman0z

boloman0z

Answered question

2022-06-12

Find a sequence of rationals that converges to arbitrary irrational number β.

Answer & Explanation

Sawyer Day

Sawyer Day

Beginner2022-06-13Added 30 answers

Take 10 n β 10 n for example, then we have
10 n β 1 10 n 10 n β 10 n 10 n β 10 n = β
Since 10 n β 1 10 n = β 1 10 n β, by squeeze theorem, we have 10 n β 10 n β

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