1. 2 3. 4. Question # 1: Consider the function f(x)= x e. In the following, the interpolating polynomial, p(x), is computed by using Taylor expansion. To do so, do the following tasks: Using Taylor expansion of x er, write f(x) as an infinite series. Find the values of do, a,, as if the function is interpolated by degree three polynomial p.(x). Compute: f(0.1) and p3(0.1) up to seven significant figures. Find the percent error for interpolating f(x) by p.(x).

1. 2 3. 4. Question # 1: Consider the function f(x)= x e. In the following, the interpolating polynomial, p(x), is computed by using Taylor expansion. To do so, do the following tasks: Using Taylor expansion of x er, write f(x) as an infinite series. Find the values of do, a,, as if the function is interpolated by degree three polynomial p.(x). Compute: f(0.1) and p3(0.1) up to seven significant figures. Find the percent error for interpolating f(x) by p.(x).

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.2: Arithmetic Sequences

Problem 68E

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