Find the Maclaurin series of f (by any method). f(x) = cos(x2) 00 Σ f(x) = n = 0 Find its radius of convergence R. R = Graph f and its first few Taylor polynomials on the same screen. y y 1.5 1.5 1.0 1.0 0.5 0.5 -1.0 -0.5 0.5 1.0 -1.0 0.5 1.0 -0.5 -0.5 -1.0 - 1.0 -1.5 -1.5 y y 1.5 1.5 1.0 1.0 0.5 0.5 -1.0 -0.5 0.5 1.0 1.0 -0.5 0.5 1.0 -0.5 -0.5 -1.0 1.0 -1.5F -1.5 What do you notice about the relationship between these polynonmials and f?
Find the Maclaurin series of f (by any method). f(x) = cos(x2) 00 Σ f(x) = n = 0 Find its radius of convergence R. R = Graph f and its first few Taylor polynomials on the same screen. y y 1.5 1.5 1.0 1.0 0.5 0.5 -1.0 -0.5 0.5 1.0 -1.0 0.5 1.0 -0.5 -0.5 -1.0 - 1.0 -1.5 -1.5 y y 1.5 1.5 1.0 1.0 0.5 0.5 -1.0 -0.5 0.5 1.0 1.0 -0.5 0.5 1.0 -0.5 -0.5 -1.0 1.0 -1.5F -1.5 What do you notice about the relationship between these polynonmials and f?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Find the Maclaurin series of f (by any method).
f(x) = cos(x2)
f(x) =
n = 0
Find its radius of convergence R.
R =
Graph f and its first few Taylor polynomials on the same screen.
y
y
1.5
1.5
1.0
1.0
0.5
0.5
-1.0
-0.5
0.5
1.0
0.5
-1.0
0.5
1.0
-0.5
-0.5
-1.0
-1.0
-1.5
-1.5
y
y
1.5
1.5
1.0
1.0
0.5
0.5
-1.0
-0.5
0.5
1.0
1.0
-0.5
1.0
0.5
-0.5
- 0.5
-1.0
1.0
-1.5
-1.5
What do you notice about the relationship between these polynomials and f?
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