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).

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).

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.3: Geometric Sequences

Problem 49E

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