Gegee die funksie f(x) = e2x, 0 < x<1 met Taylorpolinoom om die punt 0 gelykaan T3 (x) = E=0(2x)*· en resterm R3(x).k!Bepaal die maksimumwaarde wat die resterm kan aanneem in die interval [0, 1]. Geejou antwoord benaderd tot twee desimale plekke.Given the function f(x) = e2*, 0 < x s 1 with Taylor polynomial about the point Oequal to T3 (x) = E}=0°%3D(2.x)*and remainder term R3 (x).k!Determine the maximum value that the remainder term can assume in the interval[0, 1]. Give your answer approximated to two decimal places.ANTWOORD:/ ANSWER:

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Given the function f(x) = e2*, 0 < x s 1 with Taylor polynomial about the point O equal to T3(x) = Ek=0* (2x)* and remainder term R3(x). k! Determine the maximum value that the remainder term can assume in the interval [0, 1]. Give your answer approximated to two decimal places.

Given the function f(x) = e2, 0 < x s 1 with Taylor polynomial about the point O equal to T3(x) = Ek=0 (2x)* and remainder term R3(x). k! Determine the maximum value that the remainder term can assume in the interval [0, 1]. Give your answer approximated to two decimal places.

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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Question

Gegee die funksie f(x) = e2x, 0 < x<1 met Taylorpolinoom om die punt 0 gelyk
aan T3 (x) = E=0
(2x)*
· en resterm R3(x).
k!
Bepaal die maksimumwaarde wat die resterm kan aanneem in die interval [0, 1]. Gee
jou antwoord benaderd tot twee desimale plekke.
Given the function f(x) = e2*, 0 < x s 1 with Taylor polynomial about the point O
equal to T3 (x) = E}=0°
%3D
(2.x)*
and remainder term R3 (x).
k!
Determine the maximum value that the remainder term can assume in the interval
[0, 1]. Give your answer approximated to two decimal places.
ANTWOORD:/ ANSWER:

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