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
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ISBN:9780470458365
Author:Erwin Kreyszig
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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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