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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.

Proofs: 1

Proofs: 1


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References

Bibliography

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