i. Find the fourth order Taylor series expansion of the function, f(x) = In(x) around the base point x = 2. ii. Starting with simplest version of the Taylor Series polynomial obtained in Part (i), add one term at a time to estimate f(x) at x = 2.5 seconds. Each time, compute the true percent relative error, and approximate percent relative error, Note that true value of In(2.5) = 0.916291.
i. Find the fourth order Taylor series expansion of the function, f(x) = In(x) around the base point x = 2. ii. Starting with simplest version of the Taylor Series polynomial obtained in Part (i), add one term at a time to estimate f(x) at x = 2.5 seconds. Each time, compute the true percent relative error, and approximate percent relative error, Note that true value of In(2.5) = 0.916291.
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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i. Find the fourth order Taylor series expansion of the function,
f(x) = In(x) around the base point x = 2.
ii. Starting with simplest version of the Taylor Series polynomial obtained in Part (i), add one term at a time to estimate f(x) at x = 2.5 seconds. Each time, compute the true percent
relative error, and approximate percent relative error, Note that true value of In(2.5) = 0.916291.
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