Power Series: Taylor And Maclaurin Series 9.3 Worksheet - Calculus Maximus, Kevin W. Korpi

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Calculus Maximus
WS 9.3: Taylor Series
Name_________________________________________ Date________________________ Period______
Worksheet 9.3—Power Series: Taylor and Maclaurin Series
Show all work. No calculator except unless specifically stated.
On problems 1-3, find a Taylor series for
f x centered at the given value of a. Give the first four nonzero
( )
terms and the general term for each series.
1
a 
a 
a 
2
x
1.
,
2.
,
3.
,
f x
( )
e
3
f x
( )
1
f x
( ) ln
x
1
x
On problems 4-5, find a Taylor series for
f x centered at the given value of a. Give the first four
( )
nonzero terms.
 
4.
f x
( ) sin
x
,
a
5.
f x
( ) cos
x
,
a
6
4
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