function f (x) = e**, 0 < x < 1 m 3 %3D (4x)k and remainder k! e the maximum value that the rer

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter3: Polynomial And Rational Functions
Section3.5: Complex Zeros And The Fundamental Theorem Of Algebra
Problem 3E: A polynomial of degree n I has exactly ____________________zero if a zero of multiplicity m is...
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Given the function f (x) = e**, 0 < x < 1 with Taylor polynomial about the point 0
%3D
equal to T3(x) = Ek=0
(4x)k
and remainder term R3(x).
k!
73
Determine the maximum value that the remainder term can assume in the interval
[0, 1]. Give your answer approximated to two decimal places.
ANTWOORD:I ANSWER:
Transcribed Image Text:Given the function f (x) = e**, 0 < x < 1 with Taylor polynomial about the point 0 %3D equal to T3(x) = Ek=0 (4x)k and remainder term R3(x). k! 73 Determine the maximum value that the remainder term can assume in the interval [0, 1]. Give your answer approximated to two decimal places. ANTWOORD:I ANSWER:
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Maximum value of remainder term is 582.38

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