limx→0(1x2-x-2x2-2x)=______.-数学

题目简介

limx→0(1x2-x-2x2-2x)=______.-数学

题目详情

lim
x→0
(
1
x2-x
-
2
x2-2x
)
=______.
题型:填空题难度:中档来源:西城区二模

答案

lim
x→0
(class="stub"1
x2-x
-class="stub"2
x2-2x
)
=
lim
x→0
[class="stub"1
x(x-1)
-class="stub"2
x(x-2)
]

=
lim
x→0
class="stub"x-2-2x+2
x(x-1)(x-2)

=
lim
x→0
class="stub"-1
(x-1)(x-2)

=-class="stub"1
2

故答案为:-class="stub"1
2

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