已知lim(3An+4Bn)=8,lim(6An-Bn)=1,求lim(3An+Bn)的值

问题描述:

已知lim(3An+4Bn)=8,lim(6An-Bn)=1,求lim(3An+Bn)的值
lim(3An+4Bn)=8,lim(6An-Bn)=1,求lim(3An+Bn)的值

3An+Bn=(3An+4Bn)/3+(6An-Bn)/3
=> lim(3An+Bn)=lim(3An+4Bn)/3+lim(6An-Bn)/3=3