lim n趋于无穷时:[ln(n+2)/(n+2)]*[(n+1)/(ln(n+1)]?
问题描述:
lim n趋于无穷时:[ln(n+2)/(n+2)]*[(n+1)/(ln(n+1)]?
答
=lim (n趋于无穷)[ln(n+2)]/[(ln(n+1)]=lim (n趋于无穷)(n+1)/(n+2)=1
lim n趋于无穷时:[ln(n+2)/(n+2)]*[(n+1)/(ln(n+1)]?
=lim (n趋于无穷)[ln(n+2)]/[(ln(n+1)]=lim (n趋于无穷)(n+1)/(n+2)=1