Find the degree three Taylor polynomial T3 centered at x = 0 for f when f(x) = ln(3 - 4x). 1. T3(x) = ln 3 2. T3(x) = - 4 ܠܕ ܙ ܝ - 3 4 8 3x 9 O X - 7x² 64 - -x³ 81 64 81 23

Calculus: Early Transcendentals
8th Edition
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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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Find the degree three Taylor polynomial T3
centered at x =
= 0 for f when
2. T3(x)
1. T3(x) = ln 3.
3. T3(x)
4. T3(x)
5. T3(x)
f(x)
6. T3(x)
= - X
3
=
=
=
=
In 3+
4
3x
=
In 3
4
-X
3
+
ln(3 – 4x).
4
-X
3
x²
4
8
io
- X
3 9
22
-
9
+
8
9
64
81
+
8
610
شرح
4
z x + 7 x
64
81
X3
+
64
81
خرج
64
-x³
81
32
-x³
81
64
من مخ
81
Transcribed Image Text:Find the degree three Taylor polynomial T3 centered at x = = 0 for f when 2. T3(x) 1. T3(x) = ln 3. 3. T3(x) 4. T3(x) 5. T3(x) f(x) 6. T3(x) = - X 3 = = = = In 3+ 4 3x = In 3 4 -X 3 + ln(3 – 4x). 4 -X 3 x² 4 8 io - X 3 9 22 - 9 + 8 9 64 81 + 8 610 شرح 4 z x + 7 x 64 81 X3 + 64 81 خرج 64 -x³ 81 32 -x³ 81 64 من مخ 81
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