Taylor and MacLaurin Series: Consider the approximation of the exponential by its third degree Taylor Polynomial: e = P3(x) = 1+ x + + . Compute the error e* – P3(x) for various values of x: e° – P3(0) = %3D e0.1 - - P;(0.1) = e0.5 – P3(0.5) = el – P3(1) = e? – P3(2) = e-1 - P3(-1) =

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.2: Arithmetic Sequences
Problem 68E
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Taylor and MacLaurin Series: Consider the approximation of the exponential by its third degree Taylor Polynomial:
et - P3(x) =1+ x +
Compute the error e* – P3(x) for various values of æ:
+.
2
ео — Р:(0) %3D
e0.1 – P3(0.1) =
e0.5 – P3(0.5) =
%3D
el – P3(1) =
e? – P3(2) =
e-1 – P3(-1) =
Transcribed Image Text:Taylor and MacLaurin Series: Consider the approximation of the exponential by its third degree Taylor Polynomial: et - P3(x) =1+ x + Compute the error e* – P3(x) for various values of æ: +. 2 ео — Р:(0) %3D e0.1 – P3(0.1) = e0.5 – P3(0.5) = %3D el – P3(1) = e? – P3(2) = e-1 – P3(-1) =
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