Approximate the value of 1/ 2.1 using a Taylor polynomial using the function k(x) = 1/x centered at an appropriate value. The absolute error should be to within 0.035 of the true answer. You should first determine the order of the polynomial by using a theoretical bound on the error, and then you should construct your approximation. Calculate the absolute error and the relative error of your approximation.
Approximate the value of 1/ 2.1 using a Taylor polynomial using the function k(x) = 1/x centered at an appropriate value. The absolute error should be to within 0.035 of the true answer. You should first determine the order of the polynomial by using a theoretical bound on the error, and then you should construct your approximation. Calculate the absolute error and the relative error of your approximation.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Approximate the value of 1/ 2.1
using a Taylor polynomial using the function
k(x) = 1/x
centered at an appropriate value. The
absolute error should be to within 0.035 of
the true
answer. You should first determine the order
of the polynomial by using a theoretical
bound
on the error, and then you should construct
your approximation. Calculate the absolute
error and the relative error of your
approximation.
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