Midpoint Average Derivation (a) Derive the midpoint average equation fn-1+ fn+1 fn - 2 from the Taylor series expansion of fn-1 and fn+1 centered at fn. (b) What is the accuracy of this approximation? Justify.

Midpoint Average Derivation (a) Derive the midpoint average equation fn-1+ fn+1 fn - 2 from the Taylor series expansion of fn-1 and fn+1 centered at fn. (b) What is the accuracy of this approximation? Justify.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section: Chapter Questions

Problem 3DE

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Question

Midpoint Average Derivation
(a) Derive the midpoint average equation
fn-1 + fn+1
fn 2
from the Taylor series expansion of fn-1 and fn+1 centered at fn.
(b) What is the accuracy of this approximation? Justify.

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