Let f be defined and continuous on [a,b]. Then for each x E[a,b] there exists a polynomal p(x) such that |p(x) –f(x)| < e for each e >0. This theorem allows us to:

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.2: Linear Independence, Basis, And Dimension
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Let f be defined and continuous on [a,b]. Then for each x €[a,b]
there exists a polynomal p(x) such that |p(x) – f(x)| < e for each e > 0.
This theorem allows us to:
Select one:
a. apply the fundamental theorem of algebra for any polynomial p
b. subtract any function f from a polynomial p
c. approximate the function f by a Lagrange interpolating polynomial p
d. find limits of functions
Transcribed Image Text:Let f be defined and continuous on [a,b]. Then for each x €[a,b] there exists a polynomal p(x) such that |p(x) – f(x)| < e for each e > 0. This theorem allows us to: Select one: a. apply the fundamental theorem of algebra for any polynomial p b. subtract any function f from a polynomial p c. approximate the function f by a Lagrange interpolating polynomial p d. find limits of functions
Lagrange method is used for approximating polynomials.
Select one:
O True
O False
Transcribed Image Text:Lagrange method is used for approximating polynomials. Select one: O True O False
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