x/2-1lim(1-2/x)x→∞

来源:学生作业帮助网 编辑:六六作业网 时间:2024/07/04 17:24:34
x/2-1lim(1-2/x)x→∞x/2-1lim(1-2/x)x→∞x/2-1lim(1-2/x)x→∞令t=x/2-1(t+1)=x/22/x=1/(t+1)lim(1-1/(t+1))^t=l

x/2-1lim(1-2/x)x→∞
x/2-1
lim(1-2/x)
x→∞

x/2-1lim(1-2/x)x→∞
令t=x/2-1
(t+1)=x/2
2/x=1/(t+1)
lim (1-1/(t+1))^t=lim(1+(1/-(t+1)))^[-(t+1)*(-1)]*(1+(1/-(t+1)))^(-1)
-(t+1)->∞
=1/e