Lagrange Error Bound Worksheet With Answers- Calculus Maximus Ws 9.5 Page 4
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13Calculus Maximus
WS 9.5: Lagrange Error Bound
Review (Problems 4 - 7):
3
4. Find the first four nonzero terms of the power series for
f x
sin
x centered at
x
.
4
5. Find the first four nonzero terms and the general term for the Maclaurin series for
1
3
(a)
f x
x
cos
x
(b)
g x
2
1
x
6. Find the radius and interval of convergence for
n
n
1
x
2
n
(a)
(b)
2 !
n
x
5
n
2
3
n
n
0
n
0
Page 4 of 13
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