Find the interpolating polynomial for the function f(x) = e through the points x = 0, 1, 2. Determine an error bound independent of x for your interpolant on the domain [0, 2]. What happens to the error between as the degree of the interpolant increases?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 3E
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Numerical Analysis - Interpolation

Find the interpolating polynomial for the function f(x) = eª through the points x = 0, 1, 2.
Determine an error bound independent of x for your interpolant on the domain [0, 2]. What
happens to the error between as the degree of the interpolant increases?
Transcribed Image Text:Find the interpolating polynomial for the function f(x) = eª through the points x = 0, 1, 2. Determine an error bound independent of x for your interpolant on the domain [0, 2]. What happens to the error between as the degree of the interpolant increases?
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