题目内容
若
(
-
)=
,则常数a,b的值分别为______.
| lim |
| x→1 |
| a |
| x-1 |
| b |
| x2-1 |
| 1 |
| 2 |
∵
(
-
)=
,
∴
=
,
∴a+a-b=0,
∴
=
=
=
,
∴a=1,b=2.
故答案为:1,2.
| lim |
| x→1 |
| a |
| x-1 |
| b |
| x2-1 |
| 1 |
| 2 |
∴
| lim |
| x→1 |
| ax+a-b |
| (x-1)(x+1) |
| 1 |
| 2 |
∴a+a-b=0,
∴
| lim |
| x→1 |
| ax+a-b |
| (x-1)(x+1) |
| lim |
| x→1 |
| a |
| x+1 |
| a |
| 2 |
| 1 |
| 2 |
∴a=1,b=2.
故答案为:1,2.
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