Use the Taylor polynomial of order 3 for f(x) = e^x about x = 0 to

approximate √e. Compare your approximation with the answer given by

a calculator.

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- Apr 12th 2008, 01:30 PMmatty888Taylor polynomial
Use the Taylor polynomial of order 3 for f(x) = e^x about x = 0 to

approximate √e. Compare your approximation with the answer given by

a calculator. - Apr 12th 2008, 01:41 PMo_O
Given $\displaystyle f(x) = e^{x}$:

$\displaystyle e^{x} \approx P_{3}(x) = 1 + x + \frac{x^{2}}{2!} + \frac{x^{3}}{3!}$

Note that $\displaystyle \sqrt{e} = e^{\frac{1}{2}}$

So simply plug 1/2 it in. - Apr 12th 2008, 05:52 PMThePerfectHacker