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## Homework Statement

**Solve the**

##\lim_{n \rightarrow +\infty} \sqrt [n] \frac {n²+1} {n⁷-2} ##

3. The attempt of a solution:

First I thought about using L'Hopital's rule, but the nth root makes it useless.

Then I thought about to eliminate the root multiplying it by something that is one, but is able to modify the root's Nth power so I can start to work on it's inner.

Is that a good approach? If it is, any suggestions of the values that can be used? If it's not, what approach can I use? Thanks for the input.