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. 6. In (x"); xo = 1 po(x) =|0 P1(x) =|11 (x – 1) Р2 (х) 3D | 11 (х — 1) — 112 х — 12 - pa(r) =|11 (r – 1) – 112 r – 12+113 r – 13

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 3E
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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.
6.
In (x"); xo = 1
po(x) =|0
P1(x) =|11 (x – 1)
P:(«) %3D 11 (х — 1) — 112 — 12
P:(«) %3D| 11 (х — 1) — 112 х — 12 + 113 х — 13
P1(x) =| 11 (x – 1) – 112 x – 12 + 113 x – 13 – 114 x – 14
00
Σ
–1 k x – 1 k
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. 6. In (x"); xo = 1 po(x) =|0 P1(x) =|11 (x – 1) P:(«) %3D 11 (х — 1) — 112 — 12 P:(«) %3D| 11 (х — 1) — 112 х — 12 + 113 х — 13 P1(x) =| 11 (x – 1) – 112 x – 12 + 113 x – 13 – 114 x – 14 00 Σ –1 k x – 1 k k =
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