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. e"; xo = 7 Po(æ) = P1(x) = P2(x) = P3(x) = PA(x) =

Linear Algebra: A Modern Introduction
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ISBN:9781285463247
Author:David Poole
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Chapter6: Vector Spaces
Section6.3: Change Of Basis
Problem 17EQ
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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.
e"; xo = 7
Po(x) =
P1(x) =
P2(x) =
P3(x) =
PA() =
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. e"; xo = 7 Po(x) = P1(x) = P2(x) = P3(x) = PA() =
Po(x) =
P1(x) =
P2(x) =
Choose one
(x – e")*-1
k!
k=1
p3(a)
n+1
(x – 7)*
(k +1)!
P4(x) = e?
(k + 1)!
+oo
k+1
%3D
k=0
n
e7
(- e")*+1
(k +1)!
k=0
Pn (x)
n
e7
E(2 – 7)*
k!
k=0
Transcribed Image Text:Po(x) = P1(x) = P2(x) = Choose one (x – e")*-1 k! k=1 p3(a) n+1 (x – 7)* (k +1)! P4(x) = e? (k + 1)! +oo k+1 %3D k=0 n e7 (- e")*+1 (k +1)! k=0 Pn (x) n e7 E(2 – 7)* k! k=0
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