Problem 289 (difficulty: 4/10)

Calculate the limit of the following sequences.

 (1)  \(\displaystyle \frac{n^{5}-n^{3}+1}{{3n^5-2n^4+8}}\);      (2)  \(\displaystyle \sqrt {n^4+n^2} -n^2\);      (3)  \(\displaystyle \sqrt[n]{6^n-5^n}\).    

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