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1. 2 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 e, 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).

1. 2 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 e, 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).

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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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, a₁, ***, 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).
Transcribed Image Text: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, a₁, ***, 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).
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