How is the remainder in a Taylor polynomial defined?

Chapter 7, Problem 5E

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QUESTION:

How is the remainder in a Taylor polynomial defined?

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QUESTION:

How is the remainder in a Taylor polynomial defined?

ANSWER:

Solution 5E

Step 1:

Remainder in a taylor polynomial() ;Suppose that f is n+1 times differentiable and let  denote the difference between f(x) and the Taylor polynomial of degree n for f(x) centered at a.

                       Then,  (x) = f(x) - (x) = .

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