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Find the Macdaurin series of / (by any method). ) - costr) Find the radius of convergence, R. R Graph fand its first few Taylor polynomials on the same screen,

Find the Macdaurin series of / (by any method). ) - costr) Find the radius of convergence, R. R Graph fand its first few Taylor polynomials on the same screen,

Advanced Engineering Mathematics
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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A graphing calculator is recommended. Find the Maclaurin series of f (by any method). f(x) = cos(x?) f(x) = Find the radius of convergence, R. R% = Graph f and its first few Taylor polynomials on the same screen, y y 1.5 1.5 1.5 1.5 1.0 1.0 1.0 10 0.5 0.5 0.5 0.5 -1.0 -0,8 Q.5 1.0 1.6 1.5 1.5 -1.5 1.0 -0.5 0.5 1.0 1.5 1.5 -1.0 -0.5 0.5 1.0 1.5 -1.0 -0.5 0.5 1.0 -0.5 -0.5 -0.5 -0.5 -1.0 -1.0 1.0 -1.0 -1.5 -1.5 -1.5 -1.5 What do you notice about the relationship between these polynomials and f? As n increases T(x) becomes a better approximation to f(x).
Transcribed Image Text:A graphing calculator is recommended. Find the Maclaurin series of f (by any method). f(x) = cos(x?) f(x) = Find the radius of convergence, R. R% = Graph f and its first few Taylor polynomials on the same screen, y y 1.5 1.5 1.5 1.5 1.0 1.0 1.0 10 0.5 0.5 0.5 0.5 -1.0 -0,8 Q.5 1.0 1.6 1.5 1.5 -1.5 1.0 -0.5 0.5 1.0 1.5 1.5 -1.0 -0.5 0.5 1.0 1.5 -1.0 -0.5 0.5 1.0 -0.5 -0.5 -0.5 -0.5 -1.0 -1.0 1.0 -1.0 -1.5 -1.5 -1.5 -1.5 What do you notice about the relationship between these polynomials and f? As n increases T(x) becomes a better approximation to f(x).
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