x趋向于无穷,求x乘以In(x/x-1)的极限
问题描述:
x趋向于无穷,求x乘以In(x/x-1)的极限
答
x/(x-1)
=1+1/x
1/x→0
所以ln{1+1/x)~1/x
所以原式=lim(x→∞)x*1/x=1