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 $ .