a. Find the nth-order Taylor polynomials of the given function centered at 0, for n = 0, 1, and 2. b. Graph the Taylor polynomials and the function. f(x)= In (1-8x)
a. Find the nth-order Taylor polynomials of the given function centered at 0, for n = 0, 1, and 2. b. Graph the Taylor polynomials and the function. f(x)= In (1-8x)
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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Transcribed Image Text:a. Find the nth-order Taylor polynomials of the given function centered at 0, for n = 0, 1, and 2.
b. Graph the Taylor polynomials and the function.
f(x) = In (1-8x)
b. Graph the Taylor polynomials and the function. Choose the correct graph below.
O A.
f(x)
-0.5
P2(X)
2
--2-
Po(x)
015
P(x)
X
OB.
4
P₂(x)
2
f(x)
in
-0.5
05
P₁)
Po(X) X G
C.
-0.5
P₂(X)
2-
2-
P₁(x)
05
R(x)
X

Transcribed Image Text:a. Find the nth-order Taylor polynomials of the given function centered at 0, for n = 0, 1, and 2.
b. Graph the Taylor polynomials and the function.
f(x) = In (1-8x)
a. Po(x) = ₁ P₁ (x) = ₁P₂(X) =
b. Graph the Taylor polynomials and the function. Choose the correct graph below.
O A.
f(x) 2-
-0.5
P(x)
Ау
2
Po(x)
015
P(x)
X
Q
N
O B.
P(x)
-0.5
P1)
4
2
Ay
f(x)
Po(x)
05
X
O C.
-1
-0.5
(X)
2
2
P₁(x)
05
R₂(x)
X
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