Functions Question 690

Question: If $ \underset{x\to 2}{\mathop{\lim }},\frac{x^{n}-2^{n}}{x-2}=80 $ , where n is a positive integer, then $ n= $

Options:

A) 3

B) 5

C) 2

D) None of these

Show Answer

Answer:

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 $ .