Lagrange Error Bound Worksheet With Answers- Calculus Maximus Ws 9.5 Page 11
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13Calculus Maximus
WS 9.5: Lagrange Error Bound
Multiple Choice
15. Suppose a function f is approximated with a fourth-degree Taylor polynomial about
x
1
. If the
5
maximum value of the fifth derivative between
and
is 0.01, that is,
, then
x
1
x
3
f
x
0.01
the maximum error incurred using this approximation to compute
f
3
is
(A) 0.054
(B) 0.0054
(C) 0.26667
(D) 0.02667
(E) 0.00267
n
x
16. What are all the values of x for which the series
converges?
n
!
n
1
(A) 1
x
1
(B) 1
x
1
(C) 1
x
1
(D) 1
x
1
(E) All real x
Page 11 of 13
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