如图,极限题,求详细过程?

2025-05-09 04:00:44
推荐回答(2个)
回答1:

lim(x->1) [√(5x-4)-√x]/(x-1)
=lim(x->1) [(5x-4)-x]/{(x-1).[√(5x-4)+√x] }
=lim(x->1) 4/[√(5x-4)+√x]
= 4/(1+1)
=2

回答2:

0/0型,利用洛必达法则