The positive integer $n$ so that $\lim _{x \rightarrow 2} \frac{x^n-2^n}{x-2}=32$ is

Question

Professor PC Thomas Classes · Answer

$\lim_{xightarrow 2} \frac{x^n - 2^n}{x - 2} = n 2^{n-1} = 32$. For $n=4$, $4 	imes 8 = 32$.