求lim[(3-2x)/(1-2x)]的x次方x趋向于∞
问题描述:
求lim[(3-2x)/(1-2x)]的x次方x趋向于∞
答
=lim(3/x -2)/[(1/x-2)·(1-2x)^(x-1)]=0
当x趋于∞,分子=-2,分母趋于-2(1-2x)^(x-1)趋于∞,故最终值=0