daniel_i_l

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**1. Homework Statement**

find [tex]lim_{n \rightarrow \infty} n^n q^{2^n}[/tex] where |q|<1

**2. Homework Equations**

**3. The Attempt at a Solution**

I know that [tex]lim_{n \rightarrow \infty} n^{\alpha} q^{n} = 0[/tex] So it looks as if the limit in question should also be equal to 0. But how can I prove this?

Thanks

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