Find the Taylor polynomials P₁,..., P5 centered at a=0 for f(x) = e*. D₁(x) = 1

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Find the Taylor polynomials P₁, ..., P5 centered at a=0 for f(x) = ex.
P₁(x) = 1-x
1
P₂(x) = 1-x+x²
P3(x) = 1-x+
1
2
1
P5(x)= 1−x+ 2
1
-
+3
6
1
P4(x) = 1-x+ 2 6
X
-
1
.3
6
+
1
24
3
+
X
X``
4
1
4
75
X
24
Transcribed Image Text:Find the Taylor polynomials P₁, ..., P5 centered at a=0 for f(x) = ex. P₁(x) = 1-x 1 P₂(x) = 1-x+x² P3(x) = 1-x+ 1 2 1 P5(x)= 1−x+ 2 1 - +3 6 1 P4(x) = 1-x+ 2 6 X - 1 .3 6 + 1 24 3 + X X`` 4 1 4 75 X 24
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