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Corollary: Existence of Arbitrarily Small Powers

(related to Axiom: Archimedean Axiom)

Let \(0 < b < 1\) be a real number. Then, for every (arbitrarily small) \(\epsilon > 0\) there is natural number \(n\), for which \(b^n < \epsilon\).

Table of Contents

Proofs: 1

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Proofs: 1 2

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References

Bibliography

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