Advanced Engineering Mathematics
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
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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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