Corollary: Existence of Powers Exceeding Any Positive Constant

(related to Axiom: Archimedean Axiom)

Let \(b > 1\) be a real number and let \(C > 0\) be a constant. Then there exists a natural number \(n\), for which \(b^n > C\).

Proofs: 1

Proofs: 1


Thank you to the contributors under CC BY-SA 4.0!

Github:
bookofproofs


References

Bibliography

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