Theorem
Wednesday, 5 September 2018
1:18 PM
The Taylor Polynomial of degree for at is given by
If has continuous derivatives on an open interval containing , then for each
(Lagrange remainder)
This theorem says that we can approximate a function by its Taylor
polynomial and with an error term
The error will depend on both the degree of the Taylor polynomial and the value of x.
The more terms, the better the approximation
The closer is to , the better the approximation
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