Use the fact that 1 1-x in=0 to obtain a Taylor series centred at a O for f(x) = ln(1 – x). You will get a series of the form In(1 – x) = Eo Cn x" = co + C1 x + c2x² + c3x³ +.... What are the first three coefficients? Reminder: This isn't WeBWork, you must simplify your expression as much as you can before entering. For example, Quercus will not accept -(1/5) or -2/10 or - 1/5 (with a space between the minus sign and the 1). You must write -1/5, with no brackets, spaces and cancelled as much as you can etc. ANSWERS: Co = C1 = C2 = C3 C4 =
Use the fact that 1 1-x in=0 to obtain a Taylor series centred at a O for f(x) = ln(1 – x). You will get a series of the form In(1 – x) = Eo Cn x" = co + C1 x + c2x² + c3x³ +.... What are the first three coefficients? Reminder: This isn't WeBWork, you must simplify your expression as much as you can before entering. For example, Quercus will not accept -(1/5) or -2/10 or - 1/5 (with a space between the minus sign and the 1). You must write -1/5, with no brackets, spaces and cancelled as much as you can etc. ANSWERS: Co = C1 = C2 = C3 C4 =
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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
Transcribed Image Text:Use the fact that
1
1-x
in=0
to obtain a Taylor series centred at a
= 0 for f(x) = ln(1 – x).
You will get a series of the form
In(1 – x) = Eo Cn x" = co + c1x + c2x? + c3x³ + ....
What are the first three coefficients?
Reminder: This isn't WeBWork, you must simplify your expression as much as
you can before entering. For example, Quercus will not accept -(1/5) or -2/10 or -
1/5 (with a space between the minus sign and the 1). You must write -1/5, with
no brackets, spaces and cancelled as much as you can etc.
ANSWERS:
Co =
C1 =
C2 =
C3
C4 =
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