Corollary: Limit of N-th Roots
(related to Proposition: Rational Powers of Positive Numbers)
For any positive real number \(a > 0\), the limit of n-th roots equals \(1\), formally
\[\lim_{n\to\infty}\sqrt[n]a=1.\]
Table of Contents
Proofs: 1
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References
Bibliography
- Forster Otto: "Analysis 1, Differential- und Integralrechnung einer Veränderlichen", Vieweg Studium, 1983