Weierstrass Approximation Theorem Theorem 2: Any continuous function f(x) can be approximated to arbitrary accuracy on an interval with a polynomial P(x) of sufficiently higher order: ne, s.t. f(x) - P₁(x) |< € x € [a, b]. T

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.5: Rational Functions
Problem 51E
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Ma2.

 

Weierstrass Approximation Theorem
Theorem 2:
Any continuous function f(x) can be approximated to arbitrary
accuracy on an interval with a polynomial P(x) of sufficiently
higher order:
nEI, s.t. f(x) - P₁(x) < € Vxe [a, b].
T
Transcribed Image Text:Weierstrass Approximation Theorem Theorem 2: Any continuous function f(x) can be approximated to arbitrary accuracy on an interval with a polynomial P(x) of sufficiently higher order: nEI, s.t. f(x) - P₁(x) < € Vxe [a, b]. T
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