如果题目没有错lim(1+2n)*1/n=lim1/n+lim2n/n=0+2=2或许楼主说的是lim(1+2n)^(1/n)那么lim(1+2n)^(1/n)=e^limln(1+2n)/n洛必达得lim(1+2n)^(1/n)=e^limln(1+2n)/n=e^lim2/(1+2n)=e^0=1
