n趋向于无穷大,lim n[ln(n+2)-ln(n+1)],

题目

n趋向于无穷大,lim n[ln(n+2)-ln(n+1)],

答案

ln(n+2)-ln(n+1)可以化成ln（1+1/n+1）,n趋于无穷大,则有1/n+1趋于零,所以
lim nln1,算得结果为0