Limits and radicals?

Calculus Level 3

\[ \lim_{n \rightarrow \infty} \frac { \sqrt{n^{3}-2n^{2}+1} + \sqrt[3]{n^{4}+1} }{ \sqrt[4]{n^{6}+6n^{5}+2} - \sqrt[5]{n^{7}+3n^{3}+1} } = k \]

If \(k\) above exist, evaluate \( k^{2016}\).

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