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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 $$0 < \frac 1n < \epsilon.$$

Table of Contents

Proofs: 1

Mentioned in:

Proofs: 1 2

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References

Bibliography

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