问题描述: limx[ln(x+1)-lnx]的极限如题,x-->∞,求lim x[ln(x+1)-lnx]的极限 1个回答 分类:数学 2014-10-26 问题解答: 我来补答 是求x[ln(x+1)-ln(x)]的极限吧?lim(x->∞)x[ln(x+1)-ln(x)]= lim(x->∞)ln((x+1)/x)/(1/x) (0/0型罗比塔法则)= lim(x->∞)(x/(x+1))*(-1/x^2)/(-1/x^2)= lim(x->∞)x/(x+1)= 1 展开全文阅读