Approximation
Authors: Bill Davis, Horacio Porta and Jerry Uhl
©19962007
Publisher: Math Everywhere, Inc.
Version 6.0
3.06 Power Series
LITERACY
·
L.1)
Agree or disagree:
Every expansion of a function in powers of x is a power series.
Agree or disagree:
Every expansion of a function in powers of
H
x

1
L
is a power series.
·
L.2)
Agree or disagree:
Some functions don't have clean, simple formulas, so instead of defining them by
formulas, these weirdo functions are sometimes defined by power series.
What does it mean to say that a function is defined by a power series?
When you are given a function that is defined by the power series that is the function's
expansion in powers of x, what can you learn about the function from the power series?
How much of the plot can you expect to get?
·
L.3)
Draw hand sketches of
y
=
x,
and
y
=
x
+
x
10
+
x
12
+
x
100
+
x
102
for

1.2
§
x
§
1.2 on these axes.

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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, Power Series

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