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Sequence/Third root of rational function/Exercise
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Determine the limit of the sequence
x
n
=
27
n
3
+
13
n
2
+
n
8
n
3
−
7
n
+
10
3
,
n
∈
N
.
{\displaystyle x_{n}={\sqrt[{3}]{\frac {27n^{3}+13n^{2}+n}{8n^{3}-7n+10}}},\,n\in \mathbb {N} .}
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![{\displaystyle x_{n}={\sqrt[{3}]{\frac {27n^{3}+13n^{2}+n}{8n^{3}-7n+10}}},\,n\in \mathbb {N} .}](https://wikimedia.org/api/rest_v1/media/math/render/svg/89fc481ccc1733cbe8a8cd4663a08fd2e1e807bf)
