求极限lim(x→∞) (1/(x-2)-12/(x³-8))要过程
问题描述：
求极限lim(x→∞) (1/(x-2)-12/(x³-8))要过程
答
lim(x→∞) (1/(x-2)-12/(x³-8))=lim(x→∞) ((x²+2x+4)/(x³-8)-12/(x³-8))=lim(x→∞) (x²+2x-8)/(x³-8)上下同除x³则原式=lim(x→∞) (1/x+2/x²-8/x³)/(1-8/x³)...