LIM-8.A—Represent a function at a point as a Taylor polynomial
Syllabus
2020
Objective
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Level
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LIM-8.A—Represent a function at a point as a Taylor polynomial
LIM-8.A Represent a function at a point as a Taylor polynomial.
LIM-8.A.1 The coefficient of the nth degree term in a Taylor polynomial for a function f centered at x = a is f⁽ⁿ⁾(a)/n!.
LIM-8.A.2 In many cases, as the degree of a Taylor polynomial increases, the nth degree polynomial will approach the original function over some interval.
Enduring understanding LIM-8: Power series allow us to represent associated functions on an appropriate interval.