(b) We want to find a Padé approximation R6(x), with denominator of degree 3, to the function (1) Why is it often preferred to approximate a function by a rational function rather than by a poly- nomial? Activate Wir (ii) Write down R6(x) with coefficients a, and b,. Go to Settings to (ii) Set up the equations to find the coefficients, but do NOT solve the system.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.5: Rational Functions
Problem 54E
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(b) We want to find a Padé approximation R6(x), with denominator of degree 3, to the function
* = 1+x* +
(i) Why is it often preferred to approximate a function by a rational function rather than by a poly-
nomial?
Activate Windo
Go to Settings to act
(ii) Write down R6(x) with coefficients a, and b.
(i) Set up the equations to find the coefficients, but do NOT solve the system.
Transcribed Image Text:(b) We want to find a Padé approximation R6(x), with denominator of degree 3, to the function * = 1+x* + (i) Why is it often preferred to approximate a function by a rational function rather than by a poly- nomial? Activate Windo Go to Settings to act (ii) Write down R6(x) with coefficients a, and b. (i) Set up the equations to find the coefficients, but do NOT solve the system.
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