Limit of Root of Positive Real Number/Mistake
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Source Work
1977: K.G. Binmore: Mathematical Analysis: A Straightforward Approach:
- 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 $4.14$ ...
Sources
- 1977: K.G. Binmore: Mathematical Analysis: A Straightforward Approach ... (previous) ... (next): $\S 5$: Subsequences: $\S 5.4$ Example