Find the Taylor polynomial 7₂ for the function 3 O3+ (x-1)+(x-1)² 54 f(x)=√8+

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section: Chapter Questions
Problem 22RE
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Find the Taylor polynomial T₂ for the function fat the number a = 1.
3
(x-1) + (x-1)²
03+
3+
O3 + (x-1)+7(x-1)²
03-(x-1)-(x-1)²
54
f(x)=√8+
Transcribed Image Text:Find the Taylor polynomial T₂ for the function fat the number a = 1. 3 (x-1) + (x-1)² 03+ 3+ O3 + (x-1)+7(x-1)² 03-(x-1)-(x-1)² 54 f(x)=√8+
Find a power series representation for
O
O
81
n=0
F
161²+1
n=0
2n +1
ΟΞ
8
16120+1
16
2n+1
2t
+1
n=0 8 (2n+1)
f(t) = In
in (8+1)
Transcribed Image Text:Find a power series representation for O O 81 n=0 F 161²+1 n=0 2n +1 ΟΞ 8 16120+1 16 2n+1 2t +1 n=0 8 (2n+1) f(t) = In in (8+1)
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