Calculate the value of f (x) = √x = √15 ‘by expansion the Taylor series around a = 9 and considering the first three terms from the series. Calculate the absolute and relative errors to be made in case of using the value found by expansion the series instead of the value of √15 = 3.872 found in the calculator, as well as calculate the error percentage.
Calculate the value of f (x) = √x = √15 ‘by expansion the Taylor series around a = 9 and considering the first three terms from the series. Calculate the absolute and relative errors to be made in case of using the value found by expansion the series instead of the value of √15 = 3.872 found in the calculator, as well as calculate the error percentage.
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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Calculate the value of f (x) = √x = √15 ‘by expansion the Taylor series around a = 9 and
considering the first three terms from the series. Calculate the absolute and relative errors to be
made in case of using the value found by expansion the series instead of the value of √15 =
3.872 found in the calculator, as well as calculate the error percentage.
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