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Consider the function f(x): = 2x+1' We approximate f(x) by the Lagrange interpolating polynomial P₂ (x) at the points xo = 0, x₁ = 1 and x₂ = 2. A bound of the theoretical error of this approximation at x = 0.75 is: O 1.875 11.25 1.250 None of the choices

Consider the function f(x): = 2x+1' We approximate f(x) by the Lagrange interpolating polynomial P₂ (x) at the points xo = 0, x₁ = 1 and x₂ = 2. A bound of the theoretical error of this approximation at x = 0.75 is: O 1.875 11.25 1.250 None of the choices

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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Consider the function f(x) = We approximate f(x) by the Lagrange interpolating 2x+1 polynomial P₂ (x) at the points x = 0, x₁ = 1 and x₂ = 2. A bound of the theoretical error of this approximation at x = 0.75 is: O 1.875 O 11.25 1.250 O None of the choices
Transcribed Image Text:Consider the function f(x) = We approximate f(x) by the Lagrange interpolating 2x+1 polynomial P₂ (x) at the points x = 0, x₁ = 1 and x₂ = 2. A bound of the theoretical error of this approximation at x = 0.75 is: O 1.875 O 11.25 1.250 O None of the choices
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