求x→∞,(100x^2+1)/(x^3-100x)的极限.

Question

求x→∞,(100x^2+1)/(x^3-100x)的极限.

Answer 1

limx→∞,(100x^2+1)/(x^3-100x)分子分母同除以x^3 =limx→∞,(100/x+1/x^3)/(1-100/x^2) =(0+0)/(1-0) =0