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Approximation
Authors: Bill Davis, Horacio Porta and Jerry Uhl
©19962007
Publisher: Math Everywhere, Inc.
Version 6.0
3.01 Splines
LITERACY
·
L.1)
What is the order of contact between
e
x
and
1
+
x
at
x
=
0
?
What is the order of contact between
e
x
and
1
+
x
+
x
2
2
at
x
=
0
?
What is the order of contact between
e
x
and
1
+
x
+
x
2
2
+
x
3
3
!
at
x
=
0
?
For your information:
3
!=
3
*
2
*
1
=
6
.
·
L.2)
What is the order of contact between
Sin
@
x
D
and x

x
3
3
!
at x
=
0?
·
L.3)
What is the order of contact between
Cos
@
x
D
and 1

x
2
2
at x
=
0?
What is the order of contact between
Cos
@
x
D
and 1

x
2
2
+
x
4
4
!
at x
=
0?
For your information: 4
!=
4
*
3
*
2
*
1
=
24.
·
L.4)
What is the order of contact between
Log
@
x
D
and
H
x

1
L

H
x

1
L
2
2
at x
=
1?
(For your information: D
AI
1
2
H
x

1
L
2
M
, x
E
=
H
x

1
L
.)
What is the order of contact between
Log
@
x
D
and
H
x

1
L

H
x

1
L
2
2
+
H
x

1
L
3
3
at x
=
1?
(For your information: D
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This note was uploaded on 10/11/2011 for the course MATH 241 taught by Professor Kim during the Spring '08 term at University of Illinois, Urbana Champaign.
 Spring '08
 Kim
 Approximation

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