问题
选择题
已知函数f(x)=
|
答案
∵已知函数f(x)=
(a≠0)在点x=0处连续,(x+b)ex(x<0) x3+2a(x≥0)
∴b×1=2a,
∴
[lim x→∞
-1 x2-x
]=b a(x2-2x)
[lim x→∞
-1 x2-x
]=2 (x2-2x) lim x→∞
=-x x(x-1)(x-2) lim x→∞
=0,-1 (x-1)(x-2)
故选B.
已知函数f(x)=
|
∵已知函数f(x)=
(a≠0)在点x=0处连续,(x+b)ex(x<0) x3+2a(x≥0)
∴b×1=2a,
∴
[lim x→∞
-1 x2-x
]=b a(x2-2x)
[lim x→∞
-1 x2-x
]=2 (x2-2x) lim x→∞
=-x x(x-1)(x-2) lim x→∞
=0,-1 (x-1)(x-2)
故选B.