Geometric big-O

[hain]

I'm having some trouble with this discrete question:

Find the least natural number n such that
√(x² + x³ + 3) is O(xⁿ).

With the value of n that you have found, is it true that
xⁿ is O( √(x² + x³ + 3) )?


Can anyone help?

 

[hain]

To clarify:

Find the least natural number n such that
 _____________
√ x² + x³ + 3   is   O(xⁿ).

With the value of n that you have found, is it true that
         ____________
xⁿ is O(√x² + x³ + 3 )?

 

[Matt]

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