A Taylor series expansion of function f(x) about some x-location x0 is given as Consider the function
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A Taylor series expansion of function f(x) about some x-location x0 is given as
Consider the function f(x) = exp(x) = ex. Suppose we know the value of f(x) at x = x0, i.e., we know the value of f(x0), and we want to estimate the value of this function at some x location near x0. Generate the first four terms of the Taylor series expansion for the given function (up to order dx3 as in the above equation). For x0 = 0 and dx = –0.1, use your truncated Taylor series expansion to estimate f(x0 + dx). Compare your result with the exact value of e-0.1. How many digits of accuracy do you achieve with your truncated Taylor series?
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Fluid Mechanics Fundamentals And Applications
ISBN: 9780073380322
3rd Edition
Authors: Yunus Cengel, John Cimbala
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