Find the Taylor polynomials of orders n = 0, 1, 2, 3, and 4 about x = xo and then find the nth Taylor polynomial for the function in sigma notation. 4 xo = -1 Po(x) p1(x) = -4 – 4(z + 1) P2(x) -4 – 4(x + 1) – 4(x + 1)² P3(x) = %3D -4 – 4(x +1) – 4(x +1)? – 4(x + 1)³ P1(x) : -4 – 4(z + 1) – 4(z + 1)? – 4(z + 1)° – 4(z + 1)*

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Find the Taylor polynomials of orders n = 0, 1, 2, 3, and 4 about
x = xo and then find the nth Taylor polynomial for the function in
sigma notation.
4
xo = -1
Po(x)
p1(x) =
-4 – 4(z + 1)
P2(x)
-4 – 4(x + 1) – 4(x + 1)²
P3(x) =
%3D
-4 – 4(x +1) – 4(x + 1)² – 4(x + 1)³
P1(x) :
-4 – 4(z + 1) – 4(z + 1)? – 4(z + 1)° – 4(z + 1)*
Σ
E(-4)(x +1)*)
k=0
k
Transcribed Image Text:Find the Taylor polynomials of orders n = 0, 1, 2, 3, and 4 about x = xo and then find the nth Taylor polynomial for the function in sigma notation. 4 xo = -1 Po(x) p1(x) = -4 – 4(z + 1) P2(x) -4 – 4(x + 1) – 4(x + 1)² P3(x) = %3D -4 – 4(x +1) – 4(x + 1)² – 4(x + 1)³ P1(x) : -4 – 4(z + 1) – 4(z + 1)? – 4(z + 1)° – 4(z + 1)* Σ E(-4)(x +1)*) k=0 k
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