On-line Math 21
On-line Math 21
1.2
One-sided limits
Example 1
Find
lim
x
1
x
2
-
1
| x
-
1|
=
lim
x
1
x
2
-
1
-
(x
-
1)
, since
|
x
-
1
|
=
-
(x
-
1) for x < 1
=
lim
x
1
(x
-
1)(x+1)
-
(x
-
1)
=
lim
x
1
(x+1)
-
1
=
-
2.
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Copyright (c) 2000 by
David L. Johnson
.
File translated from T
E
X by
T
T
H
, version 2.61.
On 10 Oct 2000, 21:48.