Q1. (a) Estimate the value of the function f(x) = e²x at x = 1 using a Taylor's series expansion of the function about a = 0. Use three terms only. (b) Determine the relative error of your estimate in percentage.
Q1. (a) Estimate the value of the function f(x) = e²x at x = 1 using a Taylor's series expansion of the function about a = 0. Use three terms only. (b) Determine the relative error of your estimate in 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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Transcribed Image Text:Q1. (a) Estimate the value of the function f(x) = e²x at x = 1 using a Taylor's series expansion
of the function about a = 0. Use three terms only.
(b) Determine the relative error of your estimate in percentage.
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