If \( \lim _{x \rightarrow 2} \frac{x^{n}-2^{n}}{x-2}=80 \) and \( n \in N \), then find the val...

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If \( \lim _{x \rightarrow 2} \frac{x^{n}-2^{n}}{x-2}=80 \) and \( n \in N \), then find the value of \( n \).
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