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Prove the following a n is not O(b n ) if 1 < b < a n a is O(n b ) for any a,

Prove the following

an is not O(bn) if 1 < b < a

na is O(nb) for any a, and for any b > 1

Note: Some of the similiar probress uses witnesses c and n0 howerever I'm not sure what that means.

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