Find the Maclaurin series of f (by any method). f(x) = cos(x*) f(x) = * ( Σ Find its radius of convergence R. Graph f and its first few Taylor polynomials on the same screen. У У 1.5E 1.5H 1.0 1.0 0.5 0.5 х х -1.0 -0.5 0.5 1.0 1.0 -0.5 0.5 1.01 -0.5 -0.5 -1.0 -1.0 -1.5F -1.5F y У 1.5E 1.5E 1.0 1.0 0.5 0.5 х 41.0 -0.5 0.5 1.9 -1.0 0.5 0.5 1.0 -0.5 -0.5 1.0 -1.0 -1.5F -1.5F What do you notice about the relationship between these polynomials and f? As n ---Select-- ,T,(x) becomes a better approximation to f(x).

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 Maclaurin series of f (by any method).
f(x) = cos(x*)
f(x) = * (
Σ
Find its radius of convergence R.
Graph f and its first few Taylor polynomials on the same screen.
У
У
1.5E
1.5H
1.0
1.0
0.5
0.5
х
х
-1.0
-0.5
0.5
1.0
1.0
-0.5
0.5
1.01
-0.5
-0.5
-1.0
-1.0
-1.5F
-1.5F
y
У
1.5E
1.5E
1.0
1.0
0.5
0.5
х
41.0
-0.5
0.5
1.9
-1.0
0.5
0.5
1.0
-0.5
-0.5
1.0
-1.0
-1.5F
-1.5F
What do you notice about the relationship between these polynomials and f?
As n ---Select--
,T,(x) becomes a better approximation to f(x).
Transcribed Image Text:Find the Maclaurin series of f (by any method). f(x) = cos(x*) f(x) = * ( Σ Find its radius of convergence R. Graph f and its first few Taylor polynomials on the same screen. У У 1.5E 1.5H 1.0 1.0 0.5 0.5 х х -1.0 -0.5 0.5 1.0 1.0 -0.5 0.5 1.01 -0.5 -0.5 -1.0 -1.0 -1.5F -1.5F y У 1.5E 1.5E 1.0 1.0 0.5 0.5 х 41.0 -0.5 0.5 1.9 -1.0 0.5 0.5 1.0 -0.5 -0.5 1.0 -1.0 -1.5F -1.5F What do you notice about the relationship between these polynomials and f? As n ---Select-- ,T,(x) becomes a better approximation to f(x).
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