求x→∞,(100x^2+1)/(x^3-100x)的极限.
问题描述:
求x→∞,(100x^2+1)/(x^3-100x)的极限.
答
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
求x→∞,(100x^2+1)/(x^3-100x)的极限.
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