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I know this limit goes to infinity

[tex]lim (3^n-n)[/tex]

But how do I demonstrate it?

Actually I know also that this type of limits goes to infinity

[tex]lim \frac{a^n}{n^k},\forall a,k \in \mathbb{N},a>1[/tex]

But I don't know how to prove it

May you kindly help me?

Many thanks

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# Limit demonstration of sequence

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