Corollary: Existence of Arbitrarily Small Positive Rational Numbers

(related to Axiom: Archimedean Axiom)

Let \(\epsilon > 0\) be a small positive real number. Then there exists a rational number \(1/n\) such that \[0 < \frac 1n < \epsilon.\]

Proofs: 1

Proofs: 1 2


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References

Bibliography

  1. Forster Otto: "Analysis 1, Differential- und Integralrechnung einer Veränderlichen", Vieweg Studium, 1983