Taylor And Maclaurin Powers Series Worksheet With Answers - Math 141e Calculus And Analytic Geometry With Engineering Applications, Ii, Pennsylvania State University
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4Calculus 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
2
x
1.
f x
( )
e ,
a
3
2.
f x
( )
,
a
1
3.
f x
( ) ln
x ,
a
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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