n趋向于无穷大,lim n[ln(n+2)-ln(n+1)],
问题描述:
n趋向于无穷大,lim n[ln(n+2)-ln(n+1)],
答
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