
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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![1.2
1/1
Question 3
Use the Lagrange Error formula to find a bound for
the error in approximating f (x) =
for
x2
0.9 < x < 1.1 with a second-order Taylor
polynomial about x = 1. [Hint: you have to find the
third derivative of f (x), bound it on the interval
0.9 < x < 1.1, and then use the Lagrange Error
formula.]
0.005
0.00677
0.00045
0.00067
Quiz Score: 3 out](https://content.bartleby.com/qna-images/question/28939ce1-0727-4fe2-bb4f-e0471da7e82d/1045df5d-443f-48f5-b24a-4082fd8bcf6b/egotmi.png)
Transcribed Image Text:1.2
1/1
Question 3
Use the Lagrange Error formula to find a bound for
the error in approximating f (x) =
for
x2
0.9 < x < 1.1 with a second-order Taylor
polynomial about x = 1. [Hint: you have to find the
third derivative of f (x), bound it on the interval
0.9 < x < 1.1, and then use the Lagrange Error
formula.]
0.005
0.00677
0.00045
0.00067
Quiz Score: 3 out
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