lim根号x-根号2/x-2 x趋向2

题目

lim根号x-根号2/x-2 x趋向2

答案

lim(x->2)√x-√2/x-2
=lim(x->2)(x-2)/(x-2)(√x+√2)
=lim(x->2)1/(√x+√2)
=√2/4