lim（x/2）^（ x/x-2）.x趋向于2!第二题：lim（e^ （x）-1/x）.x趋向于0
问题描述：
lim（x/2）^（ x/x-2）.x趋向于2!第二题：lim（e^ （x）-1/x）.x趋向于0
我对极限十分薄弱
答
(1)L =lim(x->2 ) (x/2)^( x/(x-2) )lnL =lim(x->2 ) xln(x/2) /(x-2) (0/0)=lim(x->2 ) [ ln(x/2) + 1 ]= 1L =e^0=1ielim(x->2 ) (x/2)^( x/(x-2) ) =1(2)lim(x->0) (e^(x)- 1 )/x (0/0)=lim(x->0) e^x=1l n L是哪来的？？步骤有些看不懂L =lim(x->2 ) (x/2)^( x/(x-2) )(两边取ln)
lnL =lim(x->2 ) xln(x/2) /(x-2)(0/0)