Question

数学求解答 limx→0 e∧x-1/x∧2-x

Answer 1

limx→0
e∧x-1/x∧2-x
因为是0/0的形式，所以应用罗必塔法则
limx→0
(e∧x-1)/(x∧2-x)
=limx→0
e^x/2x-1
=e^0/(2*0-1)
=-1