# Limit of Root of Positive Real Number/Mistake

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## Source Work

Chapter $\S 5$: Subsequences
$\S 5.4$: Example

This mistake can be seen in the $1977$ edition as published by Cambridge University Press: ISBN 0 521 29167 4

## Mistake

In example $4.4$ we showed that, if $x > 0$, then $x^{1 / n} \to 1$ as $n \to \infty$. We prove this again by a different method. As in example $4.4$ we need only consider the case $x \ge 1$.

## Correction

That should actually say:

In example $4.14$ ... As in example $4.14$ ...