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Proposition: Limit of Nth Root of N

The limit of the nth-root of a natural number $\sqrt[n]{n}$ for $n\to\infty$ is equal to $1,$ formally

$$\lim_{n\to\infty} \sqrt[n]{n}=1.$$

Table of Contents

Proofs: 1

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Proofs: 1

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References

Bibliography

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