The value of \( \lim _{n \rightarrow \infty} \cos ^{2}\left(\pi\left(\sqrt[3]{\left.\left.n^{3}+...

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The value of \( \lim _{n \rightarrow \infty} \cos ^{2}\left(\pi\left(\sqrt[3]{\left.\left.n^{3}+n^{2}+2 n\right)\right)}\right.\right. \) (where \( \left.n \in N\right) \) :
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