Geometric Functions Worksheet
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5Calculus Maximus
WS 9.4: Pwr Series:Geom Series
Name_________________________________________ Date________________________ Period______
Worksheet 9.4—Power Series II: Geometric Series
Show all work. No calculator except unless specifically stated.
On problems 1-5, find a power series for the given function, centered at the given value of a. Give the first
four nonzero terms and the general term.
1
1
3
a
a
a
1.
,
2.
,
3.
,
f x
( )
0
f x
( )
0
f x
( )
0
2
1
x
x
2
1
x
x
1
a
a
4.
f x
( )
,
0
5.
f x
( )
,
1
1 2
x
4
x
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