题目内容
| lim |
| x→0 |
| 1 |
| x2-x |
| 2 |
| x2-2x |
分析：先通分，然后消除零因子，把
(
-
)化简为
，由此能够导出其结果．
| lim |
| x→0 |
| 1 |
| x2-x |
| 2 |
| x2-2x |
| lim |
| x→0 |
| -1 |
| (x-1)(x-2) |
解答：解：
(
-
)=
[
-
]
=
=
=-
．
故答案为：-
．
| lim |
| x→0 |
| 1 |
| x2-x |
| 2 |
| x2-2x |
| lim |
| x→0 |
| 1 |
| x(x-1) |
| 2 |
| x(x-2) |
=
| lim |
| x→0 |
| x-2-2x+2 |
| x(x-1)(x-2) |
=
| lim |
| x→0 |
| -1 |
| (x-1)(x-2) |
=-
| 1 |
| 2 |
故答案为：-
| 1 |
| 2 |
点评：本题考查极限的运算，解题时要认真审题，仔细求解，注意消除零因子．
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