A) 3
B) 5
C) 2
D) None of these
Correct Answer: B
Solution :
\[\underset{x\to 2}{\mathop{\lim }}\,\,\,\frac{{{x}^{n}}-{{2}^{n}}}{x-2}=n\,.\,{{2}^{n-1}}\,\,\Rightarrow \,\,n.\,{{2}^{n-1}}=80\,\,\Rightarrow \,\,n=5\].
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