设lim(x趋近于0)(e^x-(x^2+ax+b))/x的极限等于2 求a,b的值

Question

如题所述

Answer 1

lim(x->0)(e^x-(x^2+ax+b))/x (0/0)
e^0-(0^2+a(0)+b)=0
1-b=0
b=1
lim(x->0)(e^x-(x^2+ax+1))/x (0/0)
=lim(x->0)(e^x-(2x^2+a)
=e^0 -(2(0) +a) =2
1-a=2
a=-1