Answered: 8) For this problem, consider the… | bartleby

Algebra & Trigonometry with Analytic Geometry

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter4: Polynomial And Rational Functions

Section4.5: Rational Functions

Problem 54E

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8) For this problem, consider the function f(x) = e¬².
(a) Find P3(x), the third-degree Maclaurin polynomial for f(x).
(b) What does Taylor's theorem imply about the maximum error committed
by P3 over the interval [-1, 1]? A plot of |f(4) (x)| is given below.
-15
(c) Find the Maclaurin series for f(x) = e-. Write out at least 4 non-zero
terms of the series, or write in sigma notation.

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